2/5 times what equals 5/2?

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

(2/5) • (x) = (5/2)

To solve this equation, we want x alone on the left side of the equation so we start by dividing 2/5 on both sides like this:

((2/5) • (x)) / (2/5) = (5/2) / (2/5)

((2/5) • (x)) / (2/5) leaves x and (5/2) / (2/5) is 6 1/4 which means we end up with this x = 6 1/4. Therefore, the answer to "2/5 times what equals 5/2?" is as follows:

6 1/4

It is always good to double-check your math to make sure you did it right. When we entered 6 1/4 for x in this equation (2/5) • (x) = (5/2), we get the following true equation which means our math is correct.

(2/5) • (6 1/4) = (5/2)

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