How do you work out equivalent fractions

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Equivalent fractions are fractions that represent the same value, even though they look different. For example, if you have a cake, cut it into two equal pieces, and eat one of them, you will have eaten half the cake. If you cut a cake into eight equal pieces and eat four of them, you will still have eaten half the cake. These are equivalent fractions. This section explains equivalent fractions in more detail.

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. If the 2 answers are equal, the fractions are equivalent. If you need to learn how to solve variables in your fraction, keep reading the article!

For example, if the denominators were 2 and 7, then the number would be 3. Bahasa Indonesia: Menyetarakan Pecahan. Reader Success Stories.

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.

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.

How do you work out equivalent fractions

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.

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Enter Search Words Search. Hope this helps! Instead of dividing it in two pieces, what if I divided that pie into 4 pieces? Simply divide the numerator and the denominator of a fraction by the same number to obtain an equivalent fraction. We use cross multiplication for math problems where we know the fractions are equivalent, but one of the numbers has been replaced with a variable typically x for which we must solve. Let me make sure I get the right color here. OK, good. Therefore, is an equivalent fraction to. An equivalent fraction is a fraction that is the same as another fraction with a different denominator. Kindergarten Worksheets. Report a problem. David Jia Academic Tutor.

Fractions are equivalent if they are of equal value. Equivalent fractions close equivalent fraction A fraction with the same value as another. The numerator is the number of parts used.

Multiply the denominator of the first fraction by the numerator of the second fraction, then multiply the first numerator by the second denominator. David Jia. Learn Practice Download. In this example, multiply 4 by 7 to get 28, then add 1 to get a numerator of Posted 2 years ago. Updated: January 29, David Jia Academic Tutor. Connect with library staff now! Equivalent fractions are defined as those fractions which are equal to the same value irrespective of their numerators and denominators. Two fractions are equivalent if they have the same value. By signing up you are agreeing to receive emails according to our privacy policy. However, we don't have to convert to an improper fraction as above. For more complex fractions, the division method requires additional steps. Trending Articles.