What divided by 4/6 equals 3/7?

Here we will show you how to calculate "what" in this sentence: "What divided by 4/6 equals 3/7?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

x / (4/6) = (3/7)

To solve this equation, we want x alone on the left side of the equation so we start by multiplying (4/6) on both sides like this:

(x / (4/6)) • 4/6 = (3/7) • (4/6)

(x / (4/6)) • 4/6 leaves x and (3/7) • (4/6) is 2/7 which means we end up with this x = 2/7. Therefore, the answer to "What divided by 4/6 equals 3/7?" is as follows:

2/7

It is always good to double-check your math to make sure you did it right. When we entered 2/7 for x in this equation x / (4/6) = (3/7), we get the following true equation which means our math is correct.

(2/7) / (4/6) = (3/7)

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