7/1 divided by what equals 3/7?

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

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

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

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

Which equals:

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

Then we divide each side by 3/7 to like this:

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

(7/1) / (3/7) is 16 1/3 and ((3/7)x) / (3/7) leaves x which means we end up with x = 16 1/3. Therefore, the answer to "7/1 divided by what equals 3/7?" is as follows:

16 1/3

It is always good to double-check your math to make sure you did it right. When we entered 16 1/3 for x in this equation (7/1) / x = (3/7), we get the following true equation which means our math is correct.

(7/1) / (16 1/3) = (3/7)

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.

7/1 divided by what equals 3/8?
Go here for the next word problem that we have tackled with math.