What divided by 8/5 equals 4/7?

Here we will show you how to calculate "what" in this sentence: "What divided by 8/5 equals 4/7?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

x / (8/5) = (4/7)

To solve this equation, we want x alone on the left side of the equation so we start by multiplying (8/5) on both sides like this:

(x / (8/5)) • 8/5 = (4/7) • (8/5)

(x / (8/5)) • 8/5 leaves x and (4/7) • (8/5) is 32/35 which means we end up with this x = 32/35. Therefore, the answer to "What divided by 8/5 equals 4/7?" is as follows:

32/35

It is always good to double-check your math to make sure you did it right. When we entered 32/35 for x in this equation x / (8/5) = (4/7), we get the following true equation which means our math is correct.

(32/35) / (8/5) = (4/7)

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