3/4 divided by what equals 5/3?

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

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

To solve this equation, we want x alone so we start by multiplying x on both sides like this:

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

Which equals:

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

Then we divide each side by 5/3 to like this:

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

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

9/20

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

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

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