7/8 times what equals 1/6?

Here we will show you how to calculate "what" in this sentence: "7/8 times what equals 1/6?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(7/8) • (x) = (1/6)

To solve this equation, we want x alone on the left side of the equation so we start by dividing 7/8 on both sides like this:

((7/8) • (x)) / (7/8) = (1/6) / (7/8)

((7/8) • (x)) / (7/8) leaves x and (1/6) / (7/8) is 4/21 which means we end up with this x = 4/21. Therefore, the answer to "7/8 times what equals 1/6?" is as follows:

4/21

It is always good to double-check your math to make sure you did it right. When we entered 4/21 for x in this equation (7/8) • (x) = (1/6), we get the following true equation which means our math is correct.

(7/8) • (4/21) = (1/6)

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