What divided by 1/3 equals 7/9?

Here we will show you how to calculate "what" in this sentence: "What divided by 1/3 equals 7/9?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

x / (1/3) = (7/9)

To solve this equation, we want x alone on the left side of the equation so we start by multiplying (1/3) on both sides like this:

(x / (1/3)) • 1/3 = (7/9) • (1/3)

(x / (1/3)) • 1/3 leaves x and (7/9) • (1/3) is 7/27 which means we end up with this x = 7/27. Therefore, the answer to "What divided by 1/3 equals 7/9?" is as follows:

7/27

It is always good to double-check your math to make sure you did it right. When we entered 7/27 for x in this equation x / (1/3) = (7/9), we get the following true equation which means our math is correct.

(7/27) / (1/3) = (7/9)

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