1/7 times what equals 7/1?

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

(1/7) • (x) = (7/1)

To solve this equation, we want x alone on the left side of the equation so we start by dividing 1/7 on both sides like this:

((1/7) • (x)) / (1/7) = (7/1) / (1/7)

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

49

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

(1/7) • (49) = (7/1)

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