3/4 times what equals 4/9?

Here we will show you how to calculate "what" in this sentence: "3/4 times what equals 4/9?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(3/4) • (x) = (4/9)

To solve this equation, we want x alone on the left side of the equation so we start by dividing 3/4 on both sides like this:

((3/4) • (x)) / (3/4) = (4/9) / (3/4)

((3/4) • (x)) / (3/4) leaves x and (4/9) / (3/4) is 16/27 which means we end up with this x = 16/27. Therefore, the answer to "3/4 times what equals 4/9?" is as follows:

16/27

It is always good to double-check your math to make sure you did it right. When we entered 16/27 for x in this equation (3/4) • (x) = (4/9), we get the following true equation which means our math is correct.

(3/4) • (16/27) = (4/9)

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