1/7 divided by what equals 4/9?

Here we will show you how to calculate "what" in this sentence: "1/7 divided by what equals 4/9?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(1/7) / x = (4/9)

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

((1/7) / x)x = (4/9)x

Which equals:

(1/7) = (4/9)x

Then we divide each side by 4/9 to like this:

(1/7) / (4/9) = ((4/9)x) / (4/9)

(1/7) / (4/9) is 9/28 and ((4/9)x) / (4/9) leaves x which means we end up with x = 9/28. Therefore, the answer to "1/7 divided by what equals 4/9?" is as follows:

9/28

It is always good to double-check your math to make sure you did it right. When we entered 9/28 for x in this equation (1/7) / x = (4/9), we get the following true equation which means our math is correct.

(1/7) / (9/28) = (4/9)

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.

1/7 divided by what equals 5/1?
Go here for the next word problem that we have tackled with math.