What divided by 3/4 equals 2/5?

Here we will show you how to calculate "what" in this sentence: "What divided by 3/4 equals 2/5?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

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

To solve this equation, we want x alone on the left side of the equation so we start by multiplying (3/4) on both sides like this:

(x / (3/4)) • 3/4 = (2/5) • (3/4)

(x / (3/4)) • 3/4 leaves x and (2/5) • (3/4) is 3/10 which means we end up with this x = 3/10. Therefore, the answer to "What divided by 3/4 equals 2/5?" is as follows:

3/10

It is always good to double-check your math to make sure you did it right. When we entered 3/10 for x in this equation x / (3/4) = (2/5), we get the following true equation which means our math is correct.

(3/10) / (3/4) = (2/5)

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