9/8 times what equals 1/5?

Here we will show you how to calculate "what" in this sentence: "9/8 times what equals 1/5?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(9/8) • (x) = (1/5)

To solve this equation, we want x alone on the left side of the equation so we start by dividing 9/8 on both sides like this:

((9/8) • (x)) / (9/8) = (1/5) / (9/8)

((9/8) • (x)) / (9/8) leaves x and (1/5) / (9/8) is 8/45 which means we end up with this x = 8/45. Therefore, the answer to "9/8 times what equals 1/5?" is as follows:

8/45

It is always good to double-check your math to make sure you did it right. When we entered 8/45 for x in this equation (9/8) • (x) = (1/5), we get the following true equation which means our math is correct.

(9/8) • (8/45) = (1/5)

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