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2.5 Dividing Fractions Learning Objectives: 1. Find the reciprocal of a fraction. 2. Divide fractions. 3. Divide fractions and mixed numbers. 4. Divide fractions and whole numbers. 5. Applications using division. 6. Key Vocabulary: reciprocal 1. Finding Reciprocals of Fractions Reciprocals of a Number—two numbers are reciprocals of each other if their product is 1. Finding the Reciprocal of a Fraction—is to interchange its numerator and denominator. Example 1. Find the reciprocal of each number. 2
1
1. 2. 6 3. 7
10
2. Dividing Fractions Dividing Fractions: if a, b, c and d represent positive whole numbers, then Example 2. Divide and simplify. 7 3
÷ 1. 8 4
5 10
2. ÷ 9 9
3. Dividing Fractions and Mixed Numbers or Whole Numbers Dividing Fractions and Mixed Numbers or Whole Numbers—first write the mixed or whole number as a fraction and then divide as usual. Example 3. Divide and simplify. 3 3
1. 2 ÷ 1 5 5
8
2. 2 ÷ 13 9
1
3. 6 ÷ 0 3
5
4. 0 ÷ 5 9
Read Sections 3.1/3.2/3.3
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