1/7 divided by what equals 2/3?

Here we will show you how to calculate "what" in this sentence: "1/7 divided by what equals 2/3?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(1/7) / x = (2/3)

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

((1/7) / x)x = (2/3)x

Which equals:

(1/7) = (2/3)x

Then we divide each side by 2/3 to like this:

(1/7) / (2/3) = ((2/3)x) / (2/3)

(1/7) / (2/3) is 3/14 and ((2/3)x) / (2/3) leaves x which means we end up with x = 3/14. Therefore, the answer to "1/7 divided by what equals 2/3?" is as follows:

3/14

It is always good to double-check your math to make sure you did it right. When we entered 3/14 for x in this equation (1/7) / x = (2/3), we get the following true equation which means our math is correct.

(1/7) / (3/14) = (2/3)

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