1/7 divided by what equals 8/1?

Here we will show you how to calculate "what" in this sentence: "1/7 divided by what equals 8/1?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(1/7) / x = (8/1)

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

((1/7) / x)x = (8/1)x

Which equals:

(1/7) = (8/1)x

Then we divide each side by 8/1 to like this:

(1/7) / (8/1) = ((8/1)x) / (8/1)

(1/7) / (8/1) is 1/56 and ((8/1)x) / (8/1) leaves x which means we end up with x = 1/56. Therefore, the answer to "1/7 divided by what equals 8/1?" is as follows:

1/56

It is always good to double-check your math to make sure you did it right. When we entered 1/56 for x in this equation (1/7) / x = (8/1), we get the following true equation which means our math is correct.

(1/7) / (1/56) = (8/1)

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