2/5 divided by what equals 5/6?

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

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

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

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

Which equals:

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

Then we divide each side by 5/6 to like this:

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

(2/5) / (5/6) is 12/25 and ((5/6)x) / (5/6) leaves x which means we end up with x = 12/25. Therefore, the answer to "2/5 divided by what equals 5/6?" is as follows:

12/25

It is always good to double-check your math to make sure you did it right. When we entered 12/25 for x in this equation (2/5) / x = (5/6), we get the following true equation which means our math is correct.

(2/5) / (12/25) = (5/6)

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