2/5 divided by what equals 7/4?

Here we will show you how to calculate "what" in this sentence: "2/5 divided by what equals 7/4?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(2/5) / x = (7/4)

To solve this equation, we want x alone so we start by multiplying x on both sides like this:

((2/5) / x)x = (7/4)x

Which equals:

(2/5) = (7/4)x

Then we divide each side by 7/4 to like this:

(2/5) / (7/4) = ((7/4)x) / (7/4)

(2/5) / (7/4) is 8/35 and ((7/4)x) / (7/4) leaves x which means we end up with x = 8/35. Therefore, the answer to "2/5 divided by what equals 7/4?" is as follows:

8/35

It is always good to double-check your math to make sure you did it right. When we entered 8/35 for x in this equation (2/5) / x = (7/4), we get the following true equation which means our math is correct.

(2/5) / (8/35) = (7/4)

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