1/6 times what equals 2/7?

Here we will show you how to calculate "what" in this sentence: "1/6 times what equals 2/7?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(1/6) • (x) = (2/7)

To solve this equation, we want x alone on the left side of the equation so we start by dividing 1/6 on both sides like this:

((1/6) • (x)) / (1/6) = (2/7) / (1/6)

((1/6) • (x)) / (1/6) leaves x and (2/7) / (1/6) is 1 5/7 which means we end up with this x = 1 5/7. Therefore, the answer to "1/6 times what equals 2/7?" is as follows:

1 5/7

It is always good to double-check your math to make sure you did it right. When we entered 1 5/7 for x in this equation (1/6) • (x) = (2/7), we get the following true equation which means our math is correct.

(1/6) • (1 5/7) = (2/7)

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