4/9 times what equals 5/2?

Here we will show you how to calculate "what" in this sentence: "4/9 times what equals 5/2?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(4/9) • (x) = (5/2)

To solve this equation, we want x alone on the left side of the equation so we start by dividing 4/9 on both sides like this:

((4/9) • (x)) / (4/9) = (5/2) / (4/9)

((4/9) • (x)) / (4/9) leaves x and (5/2) / (4/9) is 5 5/8 which means we end up with this x = 5 5/8. Therefore, the answer to "4/9 times what equals 5/2?" is as follows:

5 5/8

It is always good to double-check your math to make sure you did it right. When we entered 5 5/8 for x in this equation (4/9) • (x) = (5/2), we get the following true equation which means our math is correct.

(4/9) • (5 5/8) = (5/2)

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