3/4 times what equals 5/2?

Here we will show you how to calculate "what" in this sentence: "3/4 times 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 on the left side of the equation so we start by dividing 3/4 on both sides like this:

((3/4) • (x)) / (3/4) = (5/2) / (3/4)

((3/4) • (x)) / (3/4) leaves x and (5/2) / (3/4) is 3 1/3 which means we end up with this x = 3 1/3. Therefore, the answer to "3/4 times what equals 5/2?" is as follows:

3 1/3

It is always good to double-check your math to make sure you did it right. When we entered 3 1/3 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 1/3) = (5/2)

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