9/7 divided by what equals 7/3?

Here we will show you how to calculate "what" in this sentence: "9/7 divided by what equals 7/3?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(9/7) / x = (7/3)

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

((9/7) / x)x = (7/3)x

Which equals:

(9/7) = (7/3)x

Then we divide each side by 7/3 to like this:

(9/7) / (7/3) = ((7/3)x) / (7/3)

(9/7) / (7/3) is 27/49 and ((7/3)x) / (7/3) leaves x which means we end up with x = 27/49. Therefore, the answer to "9/7 divided by what equals 7/3?" is as follows:

27/49

It is always good to double-check your math to make sure you did it right. When we entered 27/49 for x in this equation (9/7) / x = (7/3), we get the following true equation which means our math is correct.

(9/7) / (27/49) = (7/3)

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