2/6 divided by what equals 9/4?

Here we will show you how to calculate "what" in this sentence: "2/6 divided by what equals 9/4?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(2/6) / x = (9/4)

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

((2/6) / x)x = (9/4)x

Which equals:

(2/6) = (9/4)x

Then we divide each side by 9/4 to like this:

(2/6) / (9/4) = ((9/4)x) / (9/4)

(2/6) / (9/4) is 4/27 and ((9/4)x) / (9/4) leaves x which means we end up with x = 4/27. Therefore, the answer to "2/6 divided by what equals 9/4?" is as follows:

4/27

It is always good to double-check your math to make sure you did it right. When we entered 4/27 for x in this equation (2/6) / x = (9/4), we get the following true equation which means our math is correct.

(2/6) / (4/27) = (9/4)

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