5/6 divided by what equals 2/5?

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

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

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

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

Which equals:

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

Then we divide each side by 2/5 to like this:

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

(5/6) / (2/5) is 2 1/12 and ((2/5)x) / (2/5) leaves x which means we end up with x = 2 1/12. Therefore, the answer to "5/6 divided by what equals 2/5?" is as follows:

2 1/12

It is always good to double-check your math to make sure you did it right. When we entered 2 1/12 for x in this equation (5/6) / x = (2/5), we get the following true equation which means our math is correct.

(5/6) / (2 1/12) = (2/5)

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