What divided by 2/5 equals 9/5?

Here we will show you how to calculate "what" in this sentence: "What divided by 2/5 equals 9/5?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

x / (2/5) = (9/5)

To solve this equation, we want x alone on the left side of the equation so we start by multiplying (2/5) on both sides like this:

(x / (2/5)) • 2/5 = (9/5) • (2/5)

(x / (2/5)) • 2/5 leaves x and (9/5) • (2/5) is 18/25 which means we end up with this x = 18/25. Therefore, the answer to "What divided by 2/5 equals 9/5?" is as follows:

18/25

It is always good to double-check your math to make sure you did it right. When we entered 18/25 for x in this equation x / (2/5) = (9/5), we get the following true equation which means our math is correct.

(18/25) / (2/5) = (9/5)

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