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Rules of simplifying complex fractions

What are the rules for simplifying complex fractions?

Simple rules for simplifying complex fractions

Any fraction represents a division. We use that to simplify complex fractions.

Example of simplifying complex fractions

Problem: Simplify the complex fractions

3/5
25/36

Solution.

Step by step.

1. Rewrite the fraction as a division.

3/5 = 
25/36
3 ÷ 25
536

2. Divide 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

3 ÷ 25 = 
536
3 * 36 = 
525
3 * 36 = 108
5 * 25125

3. The answer is

3/5 = 108
25/36125

The problem is solved.