6/7 divided by what equals 9/6?

Here we will show you how to calculate "what" in this sentence: "6/7 divided by what equals 9/6?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(6/7) / x = (9/6)

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

((6/7) / x)x = (9/6)x

Which equals:

(6/7) = (9/6)x

Then we divide each side by 9/6 to like this:

(6/7) / (9/6) = ((9/6)x) / (9/6)

(6/7) / (9/6) is 4/7 and ((9/6)x) / (9/6) leaves x which means we end up with x = 4/7. Therefore, the answer to "6/7 divided by what equals 9/6?" is as follows:

4/7

It is always good to double-check your math to make sure you did it right. When we entered 4/7 for x in this equation (6/7) / x = (9/6), we get the following true equation which means our math is correct.

(6/7) / (4/7) = (9/6)

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