9/5 times what equals 4/9?

Here we will show you how to calculate "what" in this sentence: "9/5 times what equals 4/9?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(9/5) • (x) = (4/9)

To solve this equation, we want x alone on the left side of the equation so we start by dividing 9/5 on both sides like this:

((9/5) • (x)) / (9/5) = (4/9) / (9/5)

((9/5) • (x)) / (9/5) leaves x and (4/9) / (9/5) is 20/81 which means we end up with this x = 20/81. Therefore, the answer to "9/5 times what equals 4/9?" is as follows:

20/81

It is always good to double-check your math to make sure you did it right. When we entered 20/81 for x in this equation (9/5) • (x) = (4/9), we get the following true equation which means our math is correct.

(9/5) • (20/81) = (4/9)

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