What divided by 1/3 equals 6/7?

Here we will show you how to calculate "what" in this sentence: "What divided by 1/3 equals 6/7?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

x / (1/3) = (6/7)

To solve this equation, we want x alone on the left side of the equation so we start by multiplying (1/3) on both sides like this:

(x / (1/3)) • 1/3 = (6/7) • (1/3)

(x / (1/3)) • 1/3 leaves x and (6/7) • (1/3) is 2/7 which means we end up with this x = 2/7. Therefore, the answer to "What divided by 1/3 equals 6/7?" 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 / (1/3) = (6/7), we get the following true equation which means our math is correct.

(2/7) / (1/3) = (6/7)

What Divided By Fraction Equals Fraction Calculator
Here you can submit another "What divided by a/b equals c/d?" word problem that we can solve with basic algebra.

What divided by 1/3 equals 6/8?
Go here for the next word problem that we have tackled with math.