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. Find a fraction with a denominator of 21 that is equivalent to.

How do you work out equivalent fractions

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. Multiply both the numerator and denominator of a fraction by the same whole number. As long as you multiply both top and bottom of the fraction by the same number, you won't change the value of the fraction, and you'll create an equivalent fraction. Last updated: October 17,

There is one caveat to this process--the resulting fraction must have whole numbers in both the numerator and denominator to be valid. How do you know if Two Fractions are Equivalent? This article was co-authored by David Jia.

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. We will represent each of these fractions as circles with shaded parts.

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

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. The denominator is the number of equal parts. Learning about common factors may be useful when finding equivalent fractions.

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Two fractions that are different but equivalent have, by definition, numerators and denominators that are multiples of each other. Any given fraction has an infinite number of equivalent fractions. Categories: Fractions. Virtual Help Chat with library staff now Contact your library. To convert to an improper fraction, multiply the whole number component of the mixed number by the denominator of the fractional component and then add it to the numerator. Activity Try this activity to test your skills. For simple fractions without variables, you can simply express each fraction as a decimal number to determine equivalency. We ate half of the pie. Cross multiply the two fractions. Co-authors: About Us. And that makes sense because well, if I double the number of pieces in the pie, then I have to eat twice as many pieces to eat the same amount of pie. Multiply the top number and bottom number by the same value to find a fraction that's equivalent to the original. Since 3 multiplied by 7 gives us 21, we can find an equivalent fraction by multiplying both the numerator and denominator by 3. Posted 3 years ago.

February 4, by Anthony Persico.

Let me erase this. Some values may equal 0. There is one caveat to this process--the resulting fraction must have whole numbers in both the numerator and denominator to be valid. United Kingdom. Show preview Show formatting options Post answer. Sometimes it's possible to say with accuracy where a word comes from and who supposedly first used it, but usually the best you can do is say what roots the word stems from, like in this case. However, the English word "fraction" is based on the Latin the language of the ancient Romans word "fractus", which literally means "broken". Learn Equivalent Fractions with tutors mapped to your child's learning needs. How to Cross Multiply Fractions. Solution: Method 1: To check if the given fractions are equivalent, we will make the denominators the same by multiplication. In this example, multiply 4 by 7 to get 28, then add 1 to get a numerator of The number may not always be a whole number. Use this summary to review this topic.