What divided by 4/5 equals 7/2?

Here we will show you how to calculate "what" in this sentence: "What divided by 4/5 equals 7/2?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

x / (4/5) = (7/2)

To solve this equation, we want x alone on the left side of the equation so we start by multiplying (4/5) on both sides like this:

(x / (4/5)) • 4/5 = (7/2) • (4/5)

(x / (4/5)) • 4/5 leaves x and (7/2) • (4/5) is 2 4/5 which means we end up with this x = 2 4/5. Therefore, the answer to "What divided by 4/5 equals 7/2?" is as follows:

2 4/5

It is always good to double-check your math to make sure you did it right. When we entered 2 4/5 for x in this equation x / (4/5) = (7/2), we get the following true equation which means our math is correct.

(2 4/5) / (4/5) = (7/2)

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 4/5 equals 7/3?
Go here for the next word problem that we have tackled with math.