3/4 divided by what equals 5/8?

Here we will show you how to calculate "what" in this sentence: "3/4 divided by what equals 5/8?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(3/4) / x = (5/8)

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

((3/4) / x)x = (5/8)x

Which equals:

(3/4) = (5/8)x

Then we divide each side by 5/8 to like this:

(3/4) / (5/8) = ((5/8)x) / (5/8)

(3/4) / (5/8) is 1 1/5 and ((5/8)x) / (5/8) leaves x which means we end up with x = 1 1/5. Therefore, the answer to "3/4 divided by what equals 5/8?" is as follows:

1 1/5

It is always good to double-check your math to make sure you did it right. When we entered 1 1/5 for x in this equation (3/4) / x = (5/8), we get the following true equation which means our math is correct.

(3/4) / (1 1/5) = (5/8)

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.

3/4 divided by what equals 5/9?
Go here for the next word problem that we have tackled with math.