7/3 times what equals 1/7?

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

(7/3) • (x) = (1/7)

To solve this equation, we want x alone on the left side of the equation so we start by dividing 7/3 on both sides like this:

((7/3) • (x)) / (7/3) = (1/7) / (7/3)

((7/3) • (x)) / (7/3) leaves x and (1/7) / (7/3) is 3/49 which means we end up with this x = 3/49. Therefore, the answer to "7/3 times what equals 1/7?" is as follows:

3/49

It is always good to double-check your math to make sure you did it right. When we entered 3/49 for x in this equation (7/3) • (x) = (1/7), we get the following true equation which means our math is correct.

(7/3) • (3/49) = (1/7)

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