2/6 divided by what equals 6/7?

Here we will show you how to calculate "what" in this sentence: "2/6 divided by what equals 6/7?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(2/6) / x = (6/7)

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

((2/6) / x)x = (6/7)x

Which equals:

(2/6) = (6/7)x

Then we divide each side by 6/7 to like this:

(2/6) / (6/7) = ((6/7)x) / (6/7)

(2/6) / (6/7) is 7/18 and ((6/7)x) / (6/7) leaves x which means we end up with x = 7/18. Therefore, the answer to "2/6 divided by what equals 6/7?" is as follows:

7/18

It is always good to double-check your math to make sure you did it right. When we entered 7/18 for x in this equation (2/6) / x = (6/7), we get the following true equation which means our math is correct.

(2/6) / (7/18) = (6/7)

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