1/2 times what equals 1/3?

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

(1/2) • (x) = (1/3)

To solve this equation, we want x alone on the left side of the equation so we start by dividing 1/2 on both sides like this:

((1/2) • (x)) / (1/2) = (1/3) / (1/2)

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

2/3

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

(1/2) • (2/3) = (1/3)

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