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The 3 Steps to Convert Decimals to Fractions (and Back)

The 3 Steps to Convert Decimals to Fractions (and Back) SAT / ACT Prep Online Guides and Tips Wondering how to convert decimals to fractions? Or how to convert fractions to decimals?It’s easier than you think! Keep reading to see the steps for decimal to fraction conversions (including why you need to follow different steps if you have a repeating decimal), steps for fraction to decimal conversions, a handy chart with common decimal/fraction conversions, and tips for quickly estimating conversions. How to Convert Decimals to Fractions How do you convert a decimal to a fraction? Any decimal, even complicated-looking ones, can be converted to a fraction; you just need to follow a few steps. Below we explain how to convert both terminating decimals and repeating decimals to fractions. Converting a Terminating Decimal to a Fraction A terminating decimal is any decimal that has a finite other of digits. In other words, it has an end. Examples include .5, .234, .864721, etc. Terminating decimals are the most common decimals you’ll see and, fortunately, they are also the easiest to convert to fractions. Step 1 Write the decimal divided by one. For example, say you’re given the decimal .55.Your first step is to write out the decimal so it looks like ${.55}/{1}$. Step 2 Next, you want to multiply both the top and bottom of your new fraction by 10 for every digit to the left of the decimal point. In our example, .55 has two digits after the decimal point, so we’ll want to multiply the entire fraction by 10 x 10, or 100.Multiplying the fraction by ${100}/{100}$ gives us ${55}/{100}$. Step 3 The final step is reducing the fraction to its simplest form. The simplest form of the fraction is when the top and bottom of the fraction are the smallest whole numbers they can be. For example, the fraction ${3}/{9}$ isn’t in its simplest form because it can still be reduced down to â…“ by dividing both the top and bottom of the fraction by 3. The fraction ${55}/{100}$ can be reduced by dividing both the top and bottom of the fraction by 5, giving us ${11}/{20}$. 11 is a prime number and can’t be divided any more, so we know this is the fraction in its simplest form. The decimal .55 is equal to the fraction ${11}/{20}$. Example Convert .108 to a fraction. After putting the decimal over 1, we end up with ${.108}/{1}$. Since .108 has three digits after the decimal place, we need to multiply the entire fraction by 10 x 10 x 10, or 1000.This gives us ${108}/{1000}$. Now we need to simplify. Since 108 and 1000 are both even numbers, we know we can divide both by 2. This gives us ${54}/{500}$. These are still even numbers, so we can divide by 2 again to get ${27}/{250}$. 27 isn't a factor of 250, so the fraction can’t be reduced any more. The final answer is ${27}/{250}$. Converting a Repeating Decimal to a Fraction A repeating decimal is one that has no end. Since you can’t keep writing or typing the decimal out forever, they are often written as a string of digits rounded off (.666666667) or with a bar above the repeating digit(s) $\ov {(.6)}$. For our example, we’ll convert .6667 to a fraction. The decimal .6667 is equal to $\ov {(.6)}$, .666666667, .667, etc. They’re all just different ways to show that the decimal is actually a string of 6’s that goes on forever. Step 1 Let x equal the repeating decimal you’re trying to convert, and identify the repeating digit(s). So x=.6667 6 is the repeating digit, and the end of the decimal has been rounded up. Step 2 Multiply by whatever value of 10 you need to get the repeating digit(s) on the left side of the decimal. For .6667, we know that 6 is the repeating digit. We want that six on the left side of the decimal, which means moving the decimal place over one spot. So we multiply both sides of the equation by (10 x 1) or 10. 10x = 6.667 Note: You only want one â€Å"set† of repeating digit(s) on the left side of the decimal. In this example, with 6 as the repeating digit, you only want one 6 on the left of the decimal. If the decimal was 0.58585858, you’d only want one set of â€Å"58† on the left side. If it helps, you can picture all repeating decimals with the infinity bar over them, so .6667 would be$\ov {(.6)}$. Step 3 Next we want to get an equation where the repeating digit is just to the right of the decimal. Looking at x = .6667, we can see that the repeating digit (6) is already just to the right of the decimal, so we don’t need to do any multiplication. We’ll keep this equation as x = .6667 Step 4 Now we need to solve for xusing our two equations,x = .667 and10x = 6.667. 10x - x =6.667-.667 9x = 6 x = ${6}/{9}$ x = â…” Example Convert 1.0363636 to a fraction. This question is a bit trickier, but we’ll be doing the same steps that we did above. First, make the decimal equal to x, and determine the repeating digit(s).x = 1.0363636 and the repeating digits are 3 and 6 Next, get the repeating digits on the left side of the decimal (again, you only want one set of repeating digits on the left).This involves moving the decimal three places to the right, so both sides need to be multiplied by (10 x 3) or 1000. 1000x = 1036.363636 Now get the repeating digits to the right of the decimal. Looking at the equation x = 1.0363636, you can see that there currently is a zero between the decimal and the repeating digits. The decimal needs to be moved over one space, so both sides need to be multiplied by 10 x 1. 10x = 10.363636 Now use the two equations,1000x = 1036.363636 and10x = 10.363636,to solve for x. 1000x - 10x =1036.363636 -10.363636 990x = 1026 x = ${1026}/{990}$ Since the numerator is larger than the denominator, this is known as an irregular fraction. Sometimes you can leave the fraction as an irregular fraction, or you may be asked to convert it to a regular fraction. You can do this by subtracting 990/990 from the fraction and making it a 1 that’ll go next to the fraction. ${1026}/{990}$ - ${990}/{990}$ = 1 ${36}/{990}$ x = 1 ${36}/{990}$ ${36}/{990}$ can be simplified by dividing it by 18. x = 1 ${2}/{55}$ How to Convert Fractions to Decimals The easiest way to convert a fraction to a decimal is just to use your calculator. The line between the numerator and denominator acts as a division line, so ${7}/{29}$ equals 7 divided by 29 or .241. If you don’t have access to a calculator though, you can still convert fractions to decimals by using long division or getting the denominator to equal a multiple of 10. We explain both these methods in this section. Long Division Method Convert ${3}/{8}$ to a decimal. Here is what ${3}/{8}$ looks like worked out with long division. â…Å" converted to a decimal is .375 Denominator as a Value of 10 Method Convert ${3}/{8}$ to a decimal. Step 1 We want the denominator, in this case 8, to equal a value of 10. We can do this by multiplying the fraction by 125, giving us ${375}/{1000}$. Step 2 Next we want to get the denominator to equal 1 so we can get rid of the fraction. We’ll do this by dividing each part of the fraction by 1000, which means moving the decimal over three places to the left. This gives us ${.375}/{1}$ or just .375, which is our answer. Note that this method only works for a fraction with a denominator that can easily be multiplied to be a value of 10. However, there is a trick you can use to estimate the value of fractions you can’t convert using this method. Check out the example below. Example Convert â…” to a decimal. There is no number you can multiply 3 by to make it an exact multiple of 10, but you can get close. By multiplying â…” by ${333}/{333}$, we get ${666}/{999}$. 999 is very close to 1000, so let’s act like it actually is 1000, divide each part of the fraction by 1000, and move the decimal place of 666 three places to the left, giving us .666 The exact decimal conversion of â…” is the repeating decimal .6666667, but .666 gets us very close. So whenever you have a fraction whose denominator can’t easily be multiplied to a value of 10 (this will happen to all fractions that convert to repeating decimals), just get the denominator as close to a multiple of 10 as possible for a close estimate. Common Decimal to Fraction Conversions Below is a chart with common decimal to fraction conversions. You don’t need to memorize these, but knowing at least some of them off the top of your head will make it easy to do some common conversions. If you’re trying to convert a decimal or fraction and don’t have a calculator, you can also see which value in this chart the number is closest to so you can make an educated estimate of the conversion. Decimal Fraction 0.03125 ${1}/{32}$ 0.0625 ${1}/{16}$ 0.1 ${1}/{10}$ 0.1111 ${1}/{9}$ 0.125 ${1}/{8}$ 0.16667 ${1}/{6}$ 0.2 ${1}/{5}$ 0.2222 ${2}/{9}$ 0.25 ${1}/{4}$ 0.3 ${3}/{10}$ 0.3333 ${1}/{3}$ 0.375 ${3}/{8}$ 0.4 ${2}/{5}$ 0.4444 ${4}/{9}$ 0.5 ${1}/{2}$ 0.5555 ${5}/{9}$ 0.6 ${3}/{5}$ 0.625 ${5}/{8}$ 0.6666 ${2}/{3}$ 0.7 ${7}/{10}$ 0.75 ${3}/{4}$ 0.7777 ${7}/{9}$ 0.8 ${4}/{5}$ 0.8333 ${5}/{6}$ 0.875 ${7}/{8}$ 0.8888 ${8}/{9}$ 0.9 ${9}/{10}$ Summary: How to Make a Decimal Into a Fraction If you’re trying to convert a decimal to fraction, first you need to determine if it’s a terminal decimal (one with an end) or a repeating decimal (one with a digit or digit that repeats to infinity).Once you’ve done that, you can follow a few steps for the decimal to fraction conversion and for writing decimals as fractions. If you’re trying to convert a fraction to decimal, the easiest way is just to use your calculator. If you don’t have one handy, you can use long division or get the denominator equal to a multiple of ten, then move the decimal place of the numerator over. For quick estimates of decimal to fraction conversions (or vice versa), you can look at our chart of common conversions and see which is closest to your figure to get a ballpark idea of its conversion value. What's Next? Want to know the fastest and easiest ways to convert between Fahrenheit and Celsius?We've got you covered! Check out our guide to the best ways to convert Celsius to Fahrenheit (or vice versa). Are you learning about logarithms and natural logs in math class?We have a guide on all the natural log rules you need to know. Did you know that water has a very special density? Check out our guide to learn what the density of water is and how the density can change.

Arts marketing Essay Example | Topics and Well Written Essays - 2000 words

Arts marketing - Essay Example lectronic manufacturers among others employ this strategy with studies indicating that it is an efficient approach towards increasing the loyalty of customers. In co-branding, one commodity is associated with a different brand name or in some cases links a commodity with a different person who is not the main creator. A typical agreement to co-brand entails two or more companies deciding to cooperate in order to associate various logos, their color schemes or the aspects that identify their brands to a particular product that contracted purposefully for the purpose of the agreement (Blackett and Boad, 1999, p. 18). The main reason for this is to bring together the strongpoints of the two brands so that the premium customers can increase and be more willing to part with their money, to ensure the product remains resistant to any form of copying from other manufacturers or to bring together the various properties associated with the brands into one product. Over the years, co-branding has taken place in various industries and markets including the feature package associated with Harley Davidson on Ford Trucks as well as Nike pairing with Mic hael Jordan to come up with a special product line that included the Air Jordans which became famous all over the world (Hatch and Schultz, 2008, p. 110). Nike made shoes for running that had the ability to provide the user with instantaneous information concerning the time, distance and speed as well as well as the number of calories they were burning as they ran (Turban and Volonino, 2008, p. 228). In order to achieve this, Apple provided tiny iPods along with a new wireless system referred to as Nike + iPod, which will receive data from a sensor built into the insole of the innovative shoes. This creative development catapulted the concept of â€Å"Smart Shoes† that was developed by Adidas, Nikes rival, that developed a product with a chip device able to adjust the foot cushioning in order to match the needs of the person

Educational Tort Article Example | Topics and Well Written Essays - 750 words

Educational Tort - Article Example Two types of torts are seen in the education: Intentional tort and Negligence tort. 'The central idea in tort law is that liability is based not so much on acting badly or wrongfully, but on committing a wrong' (www.seop.leeds.ac.uk, 2003). 'Intentional tort' is involved when offence is commited with the set intention of harming or instilling fear of reprisal or injury. Whereas, in 'Negligence tort', the injury caused is unexpected and not deliberate. The underlying concept of one's duty to safeguard the interests of others, is the vital ingredient of the law of tort. In the education system, the tort of law is increasingy being used by the students against the teachers. The most common is the assault that may not result in the physical injury. The teachers accused of assaulting students have become frequent. The verbal assault with the intention of instilling fear in the students and battery, when physica contact results in injury, have often been used by the students against the school authorities and teachers. ... Only when all the four points are proved the victim can be suitably compensated for damaged occurred. Education tort is important to maintain discipline within the different elements of the educational system including the teachers, administrators and students. We can, therefore, conclude that the law of torts has considerable impact on the public issues and plays a vital role in facilitating the welfare of the innocent victims. The huge implications of the law, has a long term deterrent effect on the behavioural pattern of the students and teachers alike and helps to instil a sense of responsibility towards each other. Reference Sansone v. Bechtel. (1980). [Accessed 22 October, 2008]. Theories of Tort Laws. Available from: [Accessed on 24 August,

Analysis Essay Example | Topics and Well Written Essays - 250 words - 33

Analysis - Essay Example According to the data, Dicks Sporting Goods Inc. the company recorded a revenue of 1173.794 Million dollars based on the one year sales. The figure is too high and therefore, the company failed in the analysis test. The twelve month Debt/Capitalization ratio for the company is quite high from what the methodology requires of the company to go public. The leading companies that investors look for do not need money in order to be a going concern. The company has really borrowed a lot of money which is not a good sign for the investors. Dicks Sporting Goods Inc. has 1.84X as debt/EBITDA ratio. This is relatively higher figure. It therefore, means that the company will not be in a position service their current debt in a right manner and can lead to lower credit rating. According to the analysis, the company has a weak relative strength. Companies that have a relative strength of more than 90% is always considered to be very attractive. Therefore, the relative strength of 64% is not good enough for the investors to buy its

Effects of Bullying on Crime

Effects of Bullying on Crime What does bullying exactly mean? A bully is characterized as an individual who utilizes physical or mental power to impact or scare someone else or to constrain him or her to do what they need. Zimmerman’s article on† Homophobia hurts straight men, too, it discusses a student who commits suicide after his flat mate recorded him and alternate kid having sex. Bullying might be discovered all over the place in homes, on the web, and particularly in school environments. Bullying has a considerable measure of repercussions that influence individuals in many different ways. As of late, bullying has been rebuked for the climbing number of young suicides everywhere throughout the world. Nobody is destined to be a annoying bully, it is a taught expertise by the society (Kropar). A victim of harassing doesnt ask to be harmed; it’s a result of lack of awareness from todays general public. Responsible people like the Department of Education could begin executing stricter guid elines to ensure students. Bullying has turned into an issue that needs to be addressed as quickly as possible to ensure victimised people all over. I believe bullying is an act of mental weakness and lack of self esteem. Youngsters who are raised by a family that has no structural organization or ethics are at a higher risk of becoming bullies. Case in point, a kid who experiences childhood in a substance ill-use home generally gets abused by their guardians physically and verbally particularly when those parents are tweaking for the following high. Therefore they have a tendency to express their emotions by incurring torment on others in light of the fact that they cant take out their agony on their parents for dread of getting abused more. An alternate reason could be because of parents filing for a divorce or having a severe family conflict allowing this kid to feel to sit unbothered ,blaming them selfs for their partition leading them to revolt and carry on towards others by ha rming them physically or verbally. Sibling abuse is additionally normal in homes when, kids are put in a position where parents indicate more consideration and fondness towards one over the other. Some parents don’t understand that they begin this procedure among their kids by making them contend with one another. These kids have a tendency to take out their dissatisfaction on their kins by physically hitting or verbally teasing them. By letting parents more mindful of this issue, they have a superior understanding of how severe this problem is and what needs to be carried out to help prevent this harassing. With todays easy access to tec it is simple for anybody to take a humiliating picture or feature of another person and post it on the web for the entire world to see. An article as of late distributed in Daily Mail, reported a story that occurred miles away in the United States on a little island of Hawaiabout a bunch of high school cheerleaders that were blamed for bully ing by using internet. The school close down the cheerleading squad until an examination is finished. Staggeringly this particular story has gone very far that it has gone almost half away over the globe. Since bullying has turned into a world- wide plague tormenting groups like an irresistible malady everybody is getting included in uncovering such a harsh demonstration, to the point that causes such a great amount of torment to the exploited people involved. A disturbing number of suicides are, no doubt reported by youngsters because of bullying all as far and wide as possible (a British daily paper). In the United States Europe alone there have been occurrences that included school shootings due this issue. Where even children are taking retribution by taking firearms and shooting their associates and educators as a result of shame and embarrassment that they have continued constantly. Case in point, the news publicized a story about a kid who went to class with a firearm and shot a couple of students and a math educator at a elementary school in Nevada simply a month ago in light of bullying. An alternate case, was the first state funded school slaughter that murdered quite a few people, when two young men went in intensely armed and began shooting at everybody. In a late article posted in Civil Beat, on how â€Å"Hawai’i schools are as of now attempting to help tormented children addresses an issue of security for their students. In spite of various endeavors by legislators to get an exact reply from the Department of Education on their arrangements with distinguishing and managing bullies in the instructive framework which they couldnt give an immediate reaction however just given a reaction that there was at that point a guideline set up which was the â€Å"Chapter 19 â€Å"law. It still doesnt characterize the reaction that administrators were searching for (Eagles).School shootings have been more mainstream on the news than 10 years back. There weren’t any phones, advanced digital cameras or tablets accessible in those days and machines werent as astute as it is currently. Individuals were all the more cordial and regarded one another’s sentiments. Presently, the greater part of them couldnt care less as much and rather harm others as opposed to being decent. School authorities and officials need to join their endeavors in battling this issue and consent to distinguish and set standards and regulations to those blamed so as to ensure the security of students all around. As of late, the area has propelled a million dollar fight against tormenting making it openly known to groups everywhere on that this is a severe progressing issue that we all need to address. A Report put together by the Hawaii State Department of Health examines a disturbing detail of suicides among youngsters between the ages of 10 to 17 years old. In a five year period 29 passings by suicide has been accounted for (Hawai’i state audit). There were various explanations for these tragedies that killed such a large number of young people. A few reasons are because of broken families, were there could be families who are separated or have a substance ill-use issue bringing about damage and mischief to these youngsters who sees no option yet to take their torment away by taking their lives. A boyfriend or girlfriend contention that may lead them to slaughter themselves to demonstrate that their life is empty and useless without the other. The most noteworthy of all which is 61 percent is because of obscure reasons, significance there was no clarification or confirmation to show why their lives finished so early. Everybody is influenced by these tragedies including re latives of the deceased. At the point when a youngster take off their lives, there is an unbarring sensation that a guardian experiences alongside inquiries like, why?†Why did he/she do this? Who is at fault for this? What would I be able to have done to stop this? Etc. In some cases it’s tricky to see the indications of demolition a youngster is experiencing inside be that as it may, it serves to have an open association with a grown-up or somebody to converse with before submitting this incomprehensible act. These are simply a couple of facts that was carried out in Hawaii years back not including those from different places. These numbers are disturbing to know particularly when they are broken down into ethnic gatherings, age, sex and reasons of suicides. Harassing comes in numerous manifestations of abuse, whether it be physical, verbal or mental in any case it influences an individual. Because of those reasons alone there have been numerous endeavors of dangers, c utting themselves and even achievement of ending their lives. It is a pitiful circumstance that some of these victimized people needed to persist to get to that point where they felt that it was the main way out. Hotlines and gatherings at schools could be a method for correspondence for some of these children that they could search for help before turning to suicide. Before it turns into a fact, everybody ought to contribute to do their part in halting abuse now. In the event that by being taught to turn into a bully than it is not difficult to say that it could additionally be taught to be a superior individual. By instruction and mindfulness may individuals come to comprehend the importance of progress. It may be hard on the grounds that bullying is openly instructed through TV programs, radio stations, feature amusements fundamentally all over you look violence and tormenting are, no doubt pushed. Youngsters at an early age is an incredible example to begin from on the grounds t hat their psyches are similar to flushed cotton and can assimilate the integrity that later structures them into kind hearted and receptive people that know by harming individuals is not right. Bullying is an uninformed illness that might be infectious just on the off chance that it is spread by those infected. Yet it could additionally be cured by remedies of instruction and familiarity with being justifiable. Citations Daily Mail Reporter, .â€Å"Cheerleaders accused of cyber-bullying at Hawaii high school complain that THEY are being treated unfairly.†Daily Mail (UK) (Daily Mail Report) 20 Nov. 2013 n. page. Print. Eagle, Nathan. â€Å"Hawaii schools are still struggling to help tormented kids.†Civil Beat. July 30, 2012. Hawaii State Dept. of Health, Family Health Service Division, Materna and Child Health Branch,.â€Å"A report from Hawaii child death review 2001 to 2006.† December 2011 78-82. Print. Kropar, Curtis. â€Å"† School bullies: we have no one to blame but ourselves â€Å".†Civil Beat. 02 Aug 2012: Zimmerman, Jonathan. â€Å"Homophobia hurts straight men, too.† Christian Science Monitor 06 Oct. 2010: N.PAG. Academic Search Premier. Web. 22 Oct. 2013.

Maslows Hierarchy of Needs and Education Essay example -- Education E

Maslow's Hierarchy of Needs and Education Walk through any school and one fact becomes strikingly clear, every student is different. Living conditions, health, and confidence are a few of the factors that vary dramatically from student to student. However, one commonality can be detected among all learners, they all have needs. Although many individuals might disagree on the importance of these needs, the needs themselves are apparent. One psychological theory, developed by Abraham Maslow, is that our needs can be arranged in â€Å"a hierarchy ascending from such basic physiological needs as hunger and thirst through safety and love needs to needs for esteem, and ultimately, self-actualization† (Mischel 211). Commonly known as Maslow’s hierachy of needs, this theory is based on the assumption that all people have the desire to maximize their potential and strive to do what they are capable of doing. Both maximizing potential and striving to find capability are important goals in education. In turn, if a student cannot sufficiently satisfy one of their needs in the Maslow’s hierarchy, they will never reach their full potential. In essence, educators must become familiar with Maslow’s hierarchy and be prepared to mold their classroom into an environment that allows students to fulfill their needs when other surroundings, such as homes or social settings, do not encourage or allow the satisfaction of needs. I, as a future educator, have developed methods and approaches for dealing with students who are deficient in areas of Maslow’s hierarchy. Maslow’s hierarchy of needs forms the shape of a triangle, with physiological needs placed at the bottom. Physiological needs include food, clothing, and sleep. Obviously, these ... ...needs are not being fulfilled. In essence, an educator will be more effective if they have an arsenal of approaches for dealing with students who are deficient in areas of Maslow’s triangle. Works Cited Jones, Michael. â€Å"Maslow’s Hierarchy of Needs Can Lower Recidivism.† Corrections Today 66.4 (2004) : 18–22. Kiel, Joan M. â€Å"Reshaping Maslow’s Hierarchy of Needs to Reflect Today’s Educational and Managerial Philosophies.† Journal of Instructional Psychology 26.3 (1999) : 167-168. Maslow, A.H. The Farther Reaches of Human Nature. New York: The Viking Press, 1971. Mischel, Harriet, and Walter Mischel. Readings in Personality. New York: Holt, Rinehart and Winston, Inc., 1973. Mischel, Walter. Introduction to Personality.4th ed. New York: Holt, Rinehart and Winston, Inc.,1986. Perks, Carol Ann. â€Å"Get a Life!†. Teaching Pre K-8. 30.1 (1999) : 74-76.