7/6 divided by what equals 8/7?

Here we will show you how to calculate "what" in this sentence: "7/6 divided by what equals 8/7?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(7/6) / x = (8/7)

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

((7/6) / x)x = (8/7)x

Which equals:

(7/6) = (8/7)x

Then we divide each side by 8/7 to like this:

(7/6) / (8/7) = ((8/7)x) / (8/7)

(7/6) / (8/7) is 1 1/48 and ((8/7)x) / (8/7) leaves x which means we end up with x = 1 1/48. Therefore, the answer to "7/6 divided by what equals 8/7?" is as follows:

1 1/48

It is always good to double-check your math to make sure you did it right. When we entered 1 1/48 for x in this equation (7/6) / x = (8/7), we get the following true equation which means our math is correct.

(7/6) / (1 1/48) = (8/7)

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