What divided by 4/5 equals 5/9?

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

x / (4/5) = (5/9)

To solve this equation, we want x alone on the left side of the equation so we start by multiplying (4/5) on both sides like this:

(x / (4/5)) • 4/5 = (5/9) • (4/5)

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

4/9

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

(4/9) / (4/5) = (5/9)

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