5/4 times what equals 1/2?

Here we will show you how to calculate "what" in this sentence: "5/4 times what equals 1/2?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(5/4) • (x) = (1/2)

To solve this equation, we want x alone on the left side of the equation so we start by dividing 5/4 on both sides like this:

((5/4) • (x)) / (5/4) = (1/2) / (5/4)

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

2/5

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

(5/4) • (2/5) = (1/2)

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