1/5 times what equals 5/9?

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

(1/5) • (x) = (5/9)

To solve this equation, we want x alone on the left side of the equation so we start by dividing 1/5 on both sides like this:

((1/5) • (x)) / (1/5) = (5/9) / (1/5)

((1/5) • (x)) / (1/5) leaves x and (5/9) / (1/5) is 2 7/9 which means we end up with this x = 2 7/9. Therefore, the answer to "1/5 times what equals 5/9?" is as follows:

2 7/9

It is always good to double-check your math to make sure you did it right. When we entered 2 7/9 for x in this equation (1/5) • (x) = (5/9), we get the following true equation which means our math is correct.

(1/5) • (2 7/9) = (5/9)

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