What divided by 7/8 equals 6/9?

Here we will show you how to calculate "what" in this sentence: "What divided by 7/8 equals 6/9?" We start by making this word problem into an algebraic equation where "what" is the variable "x".

x / (7/8) = (6/9)

To solve this equation, we want x alone on the left side of the equation so we start by multiplying (7/8) on both sides like this:

(x / (7/8)) • 7/8 = (6/9) • (7/8)

(x / (7/8)) • 7/8 leaves x and (6/9) • (7/8) is 7/12 which means we end up with this x = 7/12. Therefore, the answer to "What divided by 7/8 equals 6/9?" is as follows:

7/12

It is always good to double-check your math to make sure you did it right. When we entered 7/12 for x in this equation x / (7/8) = (6/9), we get the following true equation which means our math is correct.

(7/12) / (7/8) = (6/9)

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 7/8 equals 7/1?
Go here for the next word problem that we have tackled with math.