# How do you write three equivalent fractions for 3/5 ?

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Feb 8, 2018

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Multiply top and bottom by the same number to get a new fraction which is equivalent to the original fraction.

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We can repeat this for any real number, eg 5 and 10,

But *why* can we do this? If you look at all the multiplying factors you will see that each one is a number divided by itself:

And

So three equivalent fractions are

It should be noted that there are in fact an infinite number of equivalent fractions which can be found like this.

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