SBP-Program

f

tw

in

Simplifying fractions using gcf

How to simplify fractions with gcf?

Example of simplifying fractions with gcf

Problem: Simplify fraction with gcf

28
42

Solution.

The gcf of 28 and 42 is 14.

See Find the greatest common factor of 28 and 42.

We have

28 = 
42
2 * 14 = 
3 * 14
2 * 14  = 
3 * 14 
2
3

3. The answer is

28 = 2
423

The problem is solved.

Problem: Simplify fraction with the greatest common factor

135
324

Solution.

The greatest common factor of 135 and 324 is 27.

See Find the greatest common factor of 135 and 324.

We have

135 = 
324
5 * 27 = 
12 * 27
5 * 27  = 
12 * 27 
5
12

3. The answer is

135 = 5
32412

The problem is solved.