7/8 divided by what equals 5/7?

Here we will show you how to calculate "what" in this sentence: "7/8 divided by what equals 5/7?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(7/8) / x = (5/7)

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

((7/8) / x)x = (5/7)x

Which equals:

(7/8) = (5/7)x

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

(7/8) / (5/7) = ((5/7)x) / (5/7)

(7/8) / (5/7) is 1 9/40 and ((5/7)x) / (5/7) leaves x which means we end up with x = 1 9/40. Therefore, the answer to "7/8 divided by what equals 5/7?" is as follows:

1 9/40

It is always good to double-check your math to make sure you did it right. When we entered 1 9/40 for x in this equation (7/8) / x = (5/7), we get the following true equation which means our math is correct.

(7/8) / (1 9/40) = (5/7)

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