5/2 times what equals 4/7?

Here we will show you how to calculate "what" in this sentence: "5/2 times what equals 4/7?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(5/2) • (x) = (4/7)

To solve this equation, we want x alone on the left side of the equation so we start by dividing 5/2 on both sides like this:

((5/2) • (x)) / (5/2) = (4/7) / (5/2)

((5/2) • (x)) / (5/2) leaves x and (4/7) / (5/2) is 8/35 which means we end up with this x = 8/35. Therefore, the answer to "5/2 times what equals 4/7?" is as follows:

8/35

It is always good to double-check your math to make sure you did it right. When we entered 8/35 for x in this equation (5/2) • (x) = (4/7), we get the following true equation which means our math is correct.

(5/2) • (8/35) = (4/7)

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