What divided by 2/5 equals 7/8?

Here we will show you how to calculate "what" in this sentence: "What divided by 2/5 equals 7/8?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

x / (2/5) = (7/8)

To solve this equation, we want x alone on the left side of the equation so we start by multiplying (2/5) on both sides like this:

(x / (2/5)) • 2/5 = (7/8) • (2/5)

(x / (2/5)) • 2/5 leaves x and (7/8) • (2/5) is 7/20 which means we end up with this x = 7/20. Therefore, the answer to "What divided by 2/5 equals 7/8?" is as follows:

7/20

It is always good to double-check your math to make sure you did it right. When we entered 7/20 for x in this equation x / (2/5) = (7/8), we get the following true equation which means our math is correct.

(7/20) / (2/5) = (7/8)

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 2/5 equals 7/9?
Go here for the next word problem that we have tackled with math.