1/7 divided by what equals 7/9?

Here we will show you how to calculate "what" in this sentence: "1/7 divided by what equals 7/9?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(1/7) / x = (7/9)

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

((1/7) / x)x = (7/9)x

Which equals:

(1/7) = (7/9)x

Then we divide each side by 7/9 to like this:

(1/7) / (7/9) = ((7/9)x) / (7/9)

(1/7) / (7/9) is 9/49 and ((7/9)x) / (7/9) leaves x which means we end up with x = 9/49. Therefore, the answer to "1/7 divided by what equals 7/9?" is as follows:

9/49

It is always good to double-check your math to make sure you did it right. When we entered 9/49 for x in this equation (1/7) / x = (7/9), we get the following true equation which means our math is correct.

(1/7) / (9/49) = (7/9)

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