What divided by 3/4 equals 5/9?

Here we will show you how to calculate "what" in this sentence: "What divided by 3/4 equals 5/9?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

x / (3/4) = (5/9)

To solve this equation, we want x alone on the left side of the equation so we start by multiplying (3/4) on both sides like this:

(x / (3/4)) • 3/4 = (5/9) • (3/4)

(x / (3/4)) • 3/4 leaves x and (5/9) • (3/4) is 5/12 which means we end up with this x = 5/12. Therefore, the answer to "What divided by 3/4 equals 5/9?" is as follows:

5/12

It is always good to double-check your math to make sure you did it right. When we entered 5/12 for x in this equation x / (3/4) = (5/9), we get the following true equation which means our math is correct.

(5/12) / (3/4) = (5/9)

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 3/4 equals 6/1?
Go here for the next word problem that we have tackled with math.