What divided by 4/5 equals 5/6?

Here we will show you how to calculate "what" in this sentence: "What divided by 4/5 equals 5/6?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

x / (4/5) = (5/6)

To solve this equation, we want x alone on the left side of the equation so we start by multiplying (4/5) on both sides like this:

(x / (4/5)) • 4/5 = (5/6) • (4/5)

(x / (4/5)) • 4/5 leaves x and (5/6) • (4/5) is 2/3 which means we end up with this x = 2/3. Therefore, the answer to "What divided by 4/5 equals 5/6?" is as follows:

2/3

It is always good to double-check your math to make sure you did it right. When we entered 2/3 for x in this equation x / (4/5) = (5/6), we get the following true equation which means our math is correct.

(2/3) / (4/5) = (5/6)

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