How do you work out equivalent fractions

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Equivalent fractions can be defined as fractions that may have different numerators and denominators but they represent the same value. All equivalent fractions get reduced to the same fraction in their simplest form as seen in the example given above. Explore the given lesson to get a better idea of how to find equivalent fractions and how to check if the given fractions are equivalent. Two or more fractions are said to be equivalent if they are equal to the same fraction when simplified. Equivalent fractions are defined as those fractions which are equal to the same value irrespective of their numerators and denominators. Let us see how their values are equal.

How do you work out equivalent fractions

Last Updated: January 29, Fact Checked. This article was co-authored by David Jia. With over 10 years of teaching experience, David works with students of all ages and grades in various subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, and more. There are 7 references cited in this article, which can be found at the bottom of the page. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. This article has been viewed , times. Two fractions are equivalent if they have the same value. Knowing how to convert a fraction into an equivalent one is an essential math skill that's necessary for everything from basic algebra to advanced calculus. This article will cover several ways to calculate equivalent fractions from basic multiplication and division to more complex methods for solving equivalent fraction equations. If you divide the original fraction, the result must have whole numbers in the numerator and denominator to be valid. To check the result, use cross-multiplication. Multiply the denominator of the first fraction by the numerator of the second fraction, then multiply the first numerator by the second denominator.

Any two fractions can be considered to be equivalent if they are equal to the same value.

Find equivalent fractions. Enter a fraction, mixed number or integer to get fractions that are equivalent to your input. Example entries:. Equivalent fractions are fractions with different numbers representing the same part of a whole. They have different numerators and denominators, but their fractional values are the same. It means half of something. They represent the same part of the whole.

February 4, by Anthony Persico. Fractions are one of the most important foundational topics in math and students need to understand how to perform operations on fractions like adding and subtracting fractions and multiplying fractions. But, before students can understand fractions at an advanced level, it is critical that they have a strong grasp of equivalent fractions. In real life, we often deal different values that can be considered equivalent or equal to each other. For example, we know that 60 minutes is equivalent to 1 hour and we also know that 16 ounces are equivalent to one pound. In each case, we are expressing the same amount of time or weight in two different ways that are interchangeable. This idea of expressing two equal values in different ways is similar in math when it comes to equivalent fractions. This complete guide to equivalent fractions will provide a step-by-step tutorial on how to understand equivalent fractions and how to find them. Equivalent fractions are fractions that have the same value but do not look the same.

How do you work out equivalent fractions

To find the equivalent fraction, we multiply the numerator and denominator by the same number and the new fraction will be equivalent to the first fraction. You can also use division to find equivalent fractions. What about this fraction? Can you work it out? We have divided the denominator 10 by 2, to get 5, so we also need to divide the numerator 6 by 2, to get 3. Each time we multiply or divide the denominator and the numerator by the same number to work out the equivalent fraction. Sign up to our newsletter.

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Method 2: This can be checked by the cross multiplication method. Our Journey. Sort by: Top Voted. Let me show you an example. Posted 3 years ago. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. Posted 13 years ago. So that's why we're saying those two fractions are equivalent. Then we actually ate the same amount of pie. Thus, the given fractions are equivalent. Math: Basic Tutorials : Equivalent Fractions. Explore the given lesson to get a better idea of how to find equivalent fractions and how to check if the given fractions are equivalent. Divide the numerator and denominator by the same number. You can multiply the numerator and denominator by any whole number, no matter how large or small to obtain an equivalent fraction.

Fractions are equivalent if they are of equal value.

Find equivalent fractions. In other words, multiplying the numerator and denominator of a fraction by the same number will produce an equivalent fraction. Let me make sure I get the right color here. Did this article help you? Regardless of the terms of a fraction, they are equivalent if the two numbers are exactly the same when expressed as a decimal. Terms and Conditions. Posted 13 years ago. Learn why people trust wikiHow. By plugging the calculated value of x back into your quadratic equation from step two, you can easily determine if you reached the correct answer. Two fractions that are different but equivalent have, by definition, numerators and denominators that are multiples of each other.