5/6 divided by what equals 7/2?

Here we will show you how to calculate "what" in this sentence: "5/6 divided by what equals 7/2?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(5/6) / x = (7/2)

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

((5/6) / x)x = (7/2)x

Which equals:

(5/6) = (7/2)x

Then we divide each side by 7/2 to like this:

(5/6) / (7/2) = ((7/2)x) / (7/2)

(5/6) / (7/2) is 5/21 and ((7/2)x) / (7/2) leaves x which means we end up with x = 5/21. Therefore, the answer to "5/6 divided by what equals 7/2?" is as follows:

5/21

It is always good to double-check your math to make sure you did it right. When we entered 5/21 for x in this equation (5/6) / x = (7/2), we get the following true equation which means our math is correct.

(5/6) / (5/21) = (7/2)

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