2/5 divided by what equals 2/7?

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

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

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

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

Which equals:

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

Then we divide each side by 2/7 to like this:

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

(2/5) / (2/7) is 1 2/5 and ((2/7)x) / (2/7) leaves x which means we end up with x = 1 2/5. Therefore, the answer to "2/5 divided by what equals 2/7?" is as follows:

1 2/5

It is always good to double-check your math to make sure you did it right. When we entered 1 2/5 for x in this equation (2/5) / x = (2/7), we get the following true equation which means our math is correct.

(2/5) / (1 2/5) = (2/7)

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