What divided by 1/4 equals 2/7?

Here we will show you how to calculate "what" in this sentence: "What divided by 1/4 equals 2/7?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

x / (1/4) = (2/7)

To solve this equation, we want x alone on the left side of the equation so we start by multiplying (1/4) on both sides like this:

(x / (1/4)) • 1/4 = (2/7) • (1/4)

(x / (1/4)) • 1/4 leaves x and (2/7) • (1/4) is 1/14 which means we end up with this x = 1/14. Therefore, the answer to "What divided by 1/4 equals 2/7?" is as follows:

1/14

It is always good to double-check your math to make sure you did it right. When we entered 1/14 for x in this equation x / (1/4) = (2/7), we get the following true equation which means our math is correct.

(1/14) / (1/4) = (2/7)

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