3/2 times what equals 2/3?

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

(3/2) • (x) = (2/3)

To solve this equation, we want x alone on the left side of the equation so we start by dividing 3/2 on both sides like this:

((3/2) • (x)) / (3/2) = (2/3) / (3/2)

((3/2) • (x)) / (3/2) leaves x and (2/3) / (3/2) is 4/9 which means we end up with this x = 4/9. Therefore, the answer to "3/2 times what equals 2/3?" is as follows:

4/9

It is always good to double-check your math to make sure you did it right. When we entered 4/9 for x in this equation (3/2) • (x) = (2/3), we get the following true equation which means our math is correct.

(3/2) • (4/9) = (2/3)

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