4/6 times what equals 4/7?

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

(4/6) • (x) = (4/7)

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

((4/6) • (x)) / (4/6) = (4/7) / (4/6)

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

6/7

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

(4/6) • (6/7) = (4/7)

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