1/7 divided by what equals 3/1?

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

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

To solve this equation, we want x alone so we start by multiplying x on both sides like this:

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

Which equals:

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

Then we divide each side by 3/1 to like this:

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

(1/7) / (3/1) is 1/21 and ((3/1)x) / (3/1) leaves x which means we end up with x = 1/21. Therefore, the answer to "1/7 divided by what equals 3/1?" is as follows:

1/21

It is always good to double-check your math to make sure you did it right. When we entered 1/21 for x in this equation (1/7) / x = (3/1), we get the following true equation which means our math is correct.

(1/7) / (1/21) = (3/1)

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

1/7 divided by what equals 3/2?
Go here for the next word problem that we have tackled with math.