4/7 times what equals 1/3?

Here we will show you how to calculate "what" in this sentence: "4/7 times what equals 1/3?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(4/7) • (x) = (1/3)

To solve this equation, we want x alone on the left side of the equation so we start by dividing 4/7 on both sides like this:

((4/7) • (x)) / (4/7) = (1/3) / (4/7)

((4/7) • (x)) / (4/7) leaves x and (1/3) / (4/7) is 7/12 which means we end up with this x = 7/12. Therefore, the answer to "4/7 times what equals 1/3?" is as follows:

7/12

It is always good to double-check your math to make sure you did it right. When we entered 7/12 for x in this equation (4/7) • (x) = (1/3), we get the following true equation which means our math is correct.

(4/7) • (7/12) = (1/3)

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