4/9 divided by what equals 1/5?

Here we will show you how to calculate "what" in this sentence: "4/9 divided by what equals 1/5?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(4/9) / x = (1/5)

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

((4/9) / x)x = (1/5)x

Which equals:

(4/9) = (1/5)x

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

(4/9) / (1/5) = ((1/5)x) / (1/5)

(4/9) / (1/5) is 2 2/9 and ((1/5)x) / (1/5) leaves x which means we end up with x = 2 2/9. Therefore, the answer to "4/9 divided by what equals 1/5?" is as follows:

2 2/9

It is always good to double-check your math to make sure you did it right. When we entered 2 2/9 for x in this equation (4/9) / x = (1/5), we get the following true equation which means our math is correct.

(4/9) / (2 2/9) = (1/5)

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