Cancelling Fractions
What is the Greatest Common Factor that simplifies the following fraction multiplication| 7 x 5 x 11 | |
| 66 x 5 x 7 |
Answer
The key to fraction simplification is finding like terms in the numerator or denominator, or master your GCF knowledge
We see in the numerator and denominator that 5 and 7 both exist
5 x 7 = 35
Cancelling 35 from top and bottom of our fraction, we get
| 66 x |
| 11 | |
| 66 |
Our leftover fraction is still not in simplest form
From our GCF Basics Lesson, we get a gcf of 11
Reducing it by a greatest common factor of 11, we get
| 1 | |
| 6 |
Therefore our total GCF reduction is 5 x 7 x 11 = 385
