3/4 divided by what equals 2/7?

Here we will show you how to calculate "what" in this sentence: "3/4 divided by what equals 2/7?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(3/4) / x = (2/7)

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

((3/4) / x)x = (2/7)x

Which equals:

(3/4) = (2/7)x

Then we divide each side by 2/7 to like this:

(3/4) / (2/7) = ((2/7)x) / (2/7)

(3/4) / (2/7) is 2 5/8 and ((2/7)x) / (2/7) leaves x which means we end up with x = 2 5/8. Therefore, the answer to "3/4 divided by what equals 2/7?" is as follows:

2 5/8

It is always good to double-check your math to make sure you did it right. When we entered 2 5/8 for x in this equation (3/4) / x = (2/7), we get the following true equation which means our math is correct.

(3/4) / (2 5/8) = (2/7)

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