8/1 divided by what equals 2/3?

Here we will show you how to calculate "what" in this sentence: "8/1 divided by what equals 2/3?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(8/1) / x = (2/3)

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

((8/1) / x)x = (2/3)x

Which equals:

(8/1) = (2/3)x

Then we divide each side by 2/3 to like this:

(8/1) / (2/3) = ((2/3)x) / (2/3)

(8/1) / (2/3) is 12 and ((2/3)x) / (2/3) leaves x which means we end up with x = 12. Therefore, the answer to "8/1 divided by what equals 2/3?" is as follows:

12

It is always good to double-check your math to make sure you did it right. When we entered 12 for x in this equation (8/1) / x = (2/3), we get the following true equation which means our math is correct.

(8/1) / (12) = (2/3)

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