What divided by 4/9 equals 5/3?

Here we will show you how to calculate "what" in this sentence: "What divided by 4/9 equals 5/3?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

x / (4/9) = (5/3)

To solve this equation, we want x alone on the left side of the equation so we start by multiplying (4/9) on both sides like this:

(x / (4/9)) • 4/9 = (5/3) • (4/9)

(x / (4/9)) • 4/9 leaves x and (5/3) • (4/9) is 20/27 which means we end up with this x = 20/27. Therefore, the answer to "What divided by 4/9 equals 5/3?" is as follows:

20/27

It is always good to double-check your math to make sure you did it right. When we entered 20/27 for x in this equation x / (4/9) = (5/3), we get the following true equation which means our math is correct.

(20/27) / (4/9) = (5/3)

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