SBP-Program

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Examples of fundamental principle of fractions

Simple examples of the fundamental principle of fractions.

See Definition of the fundamental principle of fractions.

Examples of using of fundamental principle of fractions

Problem: Simplify the fraction

21
35

Solution.

Divide the numerator and denominator of the fraction by 7

21 ÷ 7 = 3
35 ÷ 75

The problem is solved.

Problem: Simplify the fraction

55
5

Solution.

Divide the numerator and denominator of the fraction by 5

55 ÷ 5 = 11 = 11
5 ÷ 51

The problem is solved.

Problem: Simplify the fraction

12a + 6b
6a - 6b

Solution.

Factor the numerator and denominator to reduce the fraction:

12a + 6b = 
6a - 6b
6(2a + b)
6(a - b)

Divide the numerator and denominator of the fraction by 6 (we cancel the common factor by this way)

6(2a + b) ÷ 6 = 
6(a - b) ÷ 6
2a + b
a - b

The problem is solved.