5/8 divided by what equals 3/9?

Here we will show you how to calculate "what" in this sentence: "5/8 divided by what equals 3/9?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(5/8) / x = (3/9)

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

((5/8) / x)x = (3/9)x

Which equals:

(5/8) = (3/9)x

Then we divide each side by 3/9 to like this:

(5/8) / (3/9) = ((3/9)x) / (3/9)

(5/8) / (3/9) is 1 7/8 and ((3/9)x) / (3/9) leaves x which means we end up with x = 1 7/8. Therefore, the answer to "5/8 divided by what equals 3/9?" is as follows:

1 7/8

It is always good to double-check your math to make sure you did it right. When we entered 1 7/8 for x in this equation (5/8) / x = (3/9), we get the following true equation which means our math is correct.

(5/8) / (1 7/8) = (3/9)

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