3/4 divided by what equals 5/2?

Here we will show you how to calculate "what" in this sentence: "3/4 divided by what equals 5/2?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(3/4) / x = (5/2)

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

((3/4) / x)x = (5/2)x

Which equals:

(3/4) = (5/2)x

Then we divide each side by 5/2 to like this:

(3/4) / (5/2) = ((5/2)x) / (5/2)

(3/4) / (5/2) is 3/10 and ((5/2)x) / (5/2) leaves x which means we end up with x = 3/10. Therefore, the answer to "3/4 divided by what equals 5/2?" is as follows:

3/10

It is always good to double-check your math to make sure you did it right. When we entered 3/10 for x in this equation (3/4) / x = (5/2), we get the following true equation which means our math is correct.

(3/4) / (3/10) = (5/2)

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