What divided by 4/6 equals 2/5?

Here we will show you how to calculate "what" in this sentence: "What divided by 4/6 equals 2/5?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

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

To solve this equation, we want x alone on the left side of the equation so we start by multiplying (4/6) on both sides like this:

(x / (4/6)) • 4/6 = (2/5) • (4/6)

(x / (4/6)) • 4/6 leaves x and (2/5) • (4/6) is 4/15 which means we end up with this x = 4/15. Therefore, the answer to "What divided by 4/6 equals 2/5?" is as follows:

4/15

It is always good to double-check your math to make sure you did it right. When we entered 4/15 for x in this equation x / (4/6) = (2/5), we get the following true equation which means our math is correct.

(4/15) / (4/6) = (2/5)

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