1/2 divided by what equals 5/7?

Here we will show you how to calculate "what" in this sentence: "1/2 divided by what equals 5/7?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

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

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

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

Which equals:

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

Then we divide each side by 5/7 to like this:

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

(1/2) / (5/7) is 7/10 and ((5/7)x) / (5/7) leaves x which means we end up with x = 7/10. Therefore, the answer to "1/2 divided by what equals 5/7?" 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 (1/2) / x = (5/7), we get the following true equation which means our math is correct.

(1/2) / (7/10) = (5/7)

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