1/2 divided by what equals 8/3?

Here we will show you how to calculate "what" in this sentence: "1/2 divided by what equals 8/3?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

(1/2) / x = (8/3)

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

((1/2) / x)x = (8/3)x

Which equals:

(1/2) = (8/3)x

Then we divide each side by 8/3 to like this:

(1/2) / (8/3) = ((8/3)x) / (8/3)

(1/2) / (8/3) is 3/16 and ((8/3)x) / (8/3) leaves x which means we end up with x = 3/16. Therefore, the answer to "1/2 divided by what equals 8/3?" is as follows:

3/16

It is always good to double-check your math to make sure you did it right. When we entered 3/16 for x in this equation (1/2) / x = (8/3), we get the following true equation which means our math is correct.

(1/2) / (3/16) = (8/3)

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.

1/2 divided by what equals 8/4?
Go here for the next word problem that we have tackled with math.