3/5 divided by what equals 1/9?

Here we will show you how to calculate "what" in this sentence: "3/5 divided by what equals 1/9?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(3/5) / x = (1/9)

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

((3/5) / x)x = (1/9)x

Which equals:

(3/5) = (1/9)x

Then we divide each side by 1/9 to like this:

(3/5) / (1/9) = ((1/9)x) / (1/9)

(3/5) / (1/9) is 5 2/5 and ((1/9)x) / (1/9) leaves x which means we end up with x = 5 2/5. Therefore, the answer to "3/5 divided by what equals 1/9?" is as follows:

5 2/5

It is always good to double-check your math to make sure you did it right. When we entered 5 2/5 for x in this equation (3/5) / x = (1/9), we get the following true equation which means our math is correct.

(3/5) / (5 2/5) = (1/9)

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.

3/5 divided by what equals 2/1?
Go here for the next word problem that we have tackled with math.