2/3 divided by what equals 2/5?

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

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

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

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

Which equals:

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

Then we divide each side by 2/5 to like this:

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

(2/3) / (2/5) is 1 2/3 and ((2/5)x) / (2/5) leaves x which means we end up with x = 1 2/3. Therefore, the answer to "2/3 divided by what equals 2/5?" is as follows:

1 2/3

It is always good to double-check your math to make sure you did it right. When we entered 1 2/3 for x in this equation (2/3) / x = (2/5), we get the following true equation which means our math is correct.

(2/3) / (1 2/3) = (2/5)

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