6/8 divided by what equals 1/5?

Here we will show you how to calculate "what" in this sentence: "6/8 divided by what equals 1/5?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(6/8) / x = (1/5)

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

((6/8) / x)x = (1/5)x

Which equals:

(6/8) = (1/5)x

Then we divide each side by 1/5 to like this:

(6/8) / (1/5) = ((1/5)x) / (1/5)

(6/8) / (1/5) is 3 3/4 and ((1/5)x) / (1/5) leaves x which means we end up with x = 3 3/4. Therefore, the answer to "6/8 divided by what equals 1/5?" is as follows:

3 3/4

It is always good to double-check your math to make sure you did it right. When we entered 3 3/4 for x in this equation (6/8) / x = (1/5), we get the following true equation which means our math is correct.

(6/8) / (3 3/4) = (1/5)

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.

6/8 divided by what equals 1/6?
Go here for the next word problem that we have tackled with math.