1/2 divided by what equals 5/1?

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

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

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

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

Which equals:

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

Then we divide each side by 5/1 to like this:

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

(1/2) / (5/1) is 1/10 and ((5/1)x) / (5/1) leaves x which means we end up with x = 1/10. Therefore, the answer to "1/2 divided by what equals 5/1?" is as follows:

1/10

It is always good to double-check your math to make sure you did it right. When we entered 1/10 for x in this equation (1/2) / x = (5/1), we get the following true equation which means our math is correct.

(1/2) / (1/10) = (5/1)

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