5/6 divided by what equals 1/7?

Here we will show you how to calculate "what" in this sentence: "5/6 divided by what equals 1/7?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(5/6) / x = (1/7)

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

((5/6) / x)x = (1/7)x

Which equals:

(5/6) = (1/7)x

Then we divide each side by 1/7 to like this:

(5/6) / (1/7) = ((1/7)x) / (1/7)

(5/6) / (1/7) is 5 5/6 and ((1/7)x) / (1/7) leaves x which means we end up with x = 5 5/6. Therefore, the answer to "5/6 divided by what equals 1/7?" is as follows:

5 5/6

It is always good to double-check your math to make sure you did it right. When we entered 5 5/6 for x in this equation (5/6) / x = (1/7), we get the following true equation which means our math is correct.

(5/6) / (5 5/6) = (1/7)

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