3/4 divided by what equals 9/2?

Here we will show you how to calculate "what" in this sentence: "3/4 divided by what equals 9/2?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

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

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

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

Which equals:

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

Then we divide each side by 9/2 to like this:

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

(3/4) / (9/2) is 1/6 and ((9/2)x) / (9/2) leaves x which means we end up with x = 1/6. Therefore, the answer to "3/4 divided by what equals 9/2?" is as follows:

1/6

It is always good to double-check your math to make sure you did it right. When we entered 1/6 for x in this equation (3/4) / x = (9/2), we get the following true equation which means our math is correct.

(3/4) / (1/6) = (9/2)

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