2/5 times what equals 5/6?

Here we will show you how to calculate "what" in this sentence: "2/5 times 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 on the left side of the equation so we start by dividing 2/5 on both sides like this:

((2/5) • (x)) / (2/5) = (5/6) / (2/5)

((2/5) • (x)) / (2/5) leaves x and (5/6) / (2/5) is 2 1/12 which means we end up with this x = 2 1/12. Therefore, the answer to "2/5 times what equals 5/6?" 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 (2/5) • (x) = (5/6), we get the following true equation which means our math is correct.

(2/5) • (2 1/12) = (5/6)

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