3/4 divided by what equals 9/8?

Here we will show you how to calculate "what" in this sentence: "3/4 divided by what equals 9/8?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(3/4) / x = (9/8)

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

((3/4) / x)x = (9/8)x

Which equals:

(3/4) = (9/8)x

Then we divide each side by 9/8 to like this:

(3/4) / (9/8) = ((9/8)x) / (9/8)

(3/4) / (9/8) is 2/3 and ((9/8)x) / (9/8) leaves x which means we end up with x = 2/3. Therefore, the answer to "3/4 divided by what equals 9/8?" is as follows:

2/3

It is always good to double-check your math to make sure you did it right. When we entered 2/3 for x in this equation (3/4) / x = (9/8), we get the following true equation which means our math is correct.

(3/4) / (2/3) = (9/8)

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