1/2 divided by what equals 3/5?

Here we will show you how to calculate "what" in this sentence: "1/2 divided by what equals 3/5?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

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

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

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

Which equals:

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

Then we divide each side by 3/5 to like this:

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

(1/2) / (3/5) is 5/6 and ((3/5)x) / (3/5) leaves x which means we end up with x = 5/6. Therefore, the answer to "1/2 divided by what equals 3/5?" is as follows:

5/6

It is always good to double-check your math to make sure you did it right. When we entered 5/6 for x in this equation (1/2) / x = (3/5), we get the following true equation which means our math is correct.

(1/2) / (5/6) = (3/5)

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