8/5 divided by what equals 5/9?

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

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

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

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

Which equals:

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

Then we divide each side by 5/9 to like this:

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

(8/5) / (5/9) is 2 22/25 and ((5/9)x) / (5/9) leaves x which means we end up with x = 2 22/25. Therefore, the answer to "8/5 divided by what equals 5/9?" is as follows:

2 22/25

It is always good to double-check your math to make sure you did it right. When we entered 2 22/25 for x in this equation (8/5) / x = (5/9), we get the following true equation which means our math is correct.

(8/5) / (2 22/25) = (5/9)

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