2/7 divided by what equals 1/3?

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

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

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

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

Which equals:

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

Then we divide each side by 1/3 to like this:

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

(2/7) / (1/3) is 6/7 and ((1/3)x) / (1/3) leaves x which means we end up with x = 6/7. Therefore, the answer to "2/7 divided by what equals 1/3?" is as follows:

6/7

It is always good to double-check your math to make sure you did it right. When we entered 6/7 for x in this equation (2/7) / x = (1/3), we get the following true equation which means our math is correct.

(2/7) / (6/7) = (1/3)

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