1/5 divided by what equals 2/6?

Here we will show you how to calculate "what" in this sentence: "1/5 divided by what equals 2/6?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

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

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

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

Which equals:

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

Then we divide each side by 2/6 to like this:

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

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

3/5

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

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

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