2/5 divided by what equals 4/7?

Here we will show you how to calculate "what" in this sentence: "2/5 divided by what equals 4/7?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(2/5) / x = (4/7)

To solve this equation, we want x alone so we start by multiplying x on both sides like this:

((2/5) / x)x = (4/7)x

Which equals:

(2/5) = (4/7)x

Then we divide each side by 4/7 to like this:

(2/5) / (4/7) = ((4/7)x) / (4/7)

(2/5) / (4/7) is 7/10 and ((4/7)x) / (4/7) leaves x which means we end up with x = 7/10. Therefore, the answer to "2/5 divided by what equals 4/7?" is as follows:

7/10

It is always good to double-check your math to make sure you did it right. When we entered 7/10 for x in this equation (2/5) / x = (4/7), we get the following true equation which means our math is correct.

(2/5) / (7/10) = (4/7)

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