Is 2/3 equal to 3/5?

You have come to the right place if you want to know the answer to "Is 2/3 equal to 3/5?". We will not only give you the answer, but also show you step-by-step how to determine if 2/3 is equal to 3/5.

We start by setting up our problem with different colors so you can easily follow along. The numbers colored in orange are the numerators of each fraction, and the numbers colored in green are the denominators of each fraction.

		2
		3

		3
		5

To determine if the two fractions are equal, we convert the two fractions so that the denominators are the same, and then we compare the numerators to see if they are also same.

The least common denominator of the two fractions is 15. To convert 2/3 so the denominator is 15, you multiply the numerator and denominator by 5. To convert 3/5 so the denominator is 15, you multiply the numerator and denominator by 3.

		2 × 5
		3 × 5

		3 × 3
		5 × 3

Now we have two fractions with the same denominator so we can easily compare the numerators to determine if they are equal:

		10
		15

		9
		15

As you can see, the numerators colored in orange above are not the same. Therefore, the answer to "Is 2/3 equal to 3/5?" is no!

		2
		3

≠

		3
		5

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