1/3 times what equals 2/3?

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

(1/3) • (x) = (2/3)

To solve this equation, we want x alone on the left side of the equation so we start by dividing 1/3 on both sides like this:

((1/3) • (x)) / (1/3) = (2/3) / (1/3)

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

2

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

(1/3) • (2) = (2/3)

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