7/4 times what equals 9/7?

Here we will show you how to calculate "what" in this sentence: "7/4 times what equals 9/7?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(7/4) • (x) = (9/7)

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

((7/4) • (x)) / (7/4) = (9/7) / (7/4)

((7/4) • (x)) / (7/4) leaves x and (9/7) / (7/4) is 36/49 which means we end up with this x = 36/49. Therefore, the answer to "7/4 times what equals 9/7?" is as follows:

36/49

It is always good to double-check your math to make sure you did it right. When we entered 36/49 for x in this equation (7/4) • (x) = (9/7), we get the following true equation which means our math is correct.

(7/4) • (36/49) = (9/7)

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