1/7 divided by what equals 3/2?

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

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

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

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

Which equals:

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

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

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

(1/7) / (3/2) is 2/21 and ((3/2)x) / (3/2) leaves x which means we end up with x = 2/21. Therefore, the answer to "1/7 divided by what equals 3/2?" is as follows:

2/21

It is always good to double-check your math to make sure you did it right. When we entered 2/21 for x in this equation (1/7) / x = (3/2), we get the following true equation which means our math is correct.

(1/7) / (2/21) = (3/2)

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