SBP-Program

f

tw

in

Simplifying fractions within fractions with variables

How to simplify fractions within fractions with variables?

Example of simplifying fractions within fractions with variables

Problem: Simplify fraction within fraction with variables

4ab/15cd
2a/5d

Solution.

1. Rewrite the fraction as a division.

4ab/15cd = 
2a/5d
4ab ÷ 2a
15cd5d

2. Divide the two fractions.

To divide two fractions multiply the first fraction by the the reciprocal of the second fraction.

See Rules for dividing fractions.

We have

4ab ÷ 2a = 
15cd5d
4ab * 5d = 
15cd2a
4ab * 5d = 
15cd * 2a
2a * 2b * 5d = 
3c * 5d * 2a
 2a * 2b * 5d  = 
3c * 5d * 2a 
2b
3c

3. The answer is

4ab/15cd = 2b
2a/5d3c

The problem is solved.