Dividing Fractions and Mixed Numbers Warm Up Multiply

Dividing Fractions and Mixed Numbers Warm Up Multiply. -7 3 · 9 6 -9 · -6 2. 8 5 3. 2 1 · 7 5 1. -7 18 7 27 or 1 20 20 77 or 15 2 5 5 1 · 11 -25 or -3 1 -2 4. 8 4 8 2

Dividing Fractions and Mixed Numbers Essential Question: How do I divide fractions and mixed numbers? Standards: MCC 7. NS. 2: Apply and extend previous understandings of multiplication and division to multiply and divide rational numbers.

Dividing Fractions and Mixed Numbers Reciprocals can help you divide by fractions. Two numbers are reciprocals or multiplicative inverses if their product is 1. The reciprocal of 1 3 is 3 because 1 · 3 = 3 = 1. 3 1 3 3 Dividing by a number is the same as multiplying by its reciprocal. 2 ÷ 1 3 =2· 3=6 Review Video

Dividing Fractions and Mixed Numbers Additional Example 1: Dividing Fractions Divide. Write each answer in simplest form. A. B. 2 3 ÷ 5 7 3 ÷ 2 = 3 5 · 7 5 7 2 · = 3 5 7 · 2 15 or 1 1 = 14 14 3 ÷ 12 8 3 ÷ 12 = 3 · 1 8 12 8 13 · 1 = 12 4 8 1 = 32 Multiply by the reciprocal of 2. 5 Multiply by the reciprocal of 12. Simplify.

Dividing Fractions and Mixed Numbers Check It Out: Example 1 Divide. Write each answer in simplest form. A. B. 1 -3 ÷ 2 5 -3 ÷ 1 = -3 2 · 5 2 5 1 · = -3 2 5 · 1 -6 or -11 = 5 5 -3 ÷ -3 4 -3 ÷ -3 = -3 · 1 4 -3 4 1 -3 1 · = -3 1 4 1 = 4 Integer Rules still apply! Multiply by the reciprocal of 1. 2 Multiply by the reciprocal of 3. Simplify.

Dividing Fractions and Mixed Numbers Additional Example 2: Dividing Mixed Numbers Divide. Write each answer in simplest form. A. B. 2 ÷ 11 3 4 5 2 ÷ 1 1 = 17 ÷ 5 3 4 4 3 5 -3÷ 1 2 2 4 = 17 · 4 3 5 = 68 or 4 8 15 15 -3 ÷ 2 1 = -3 ÷ 4 2 4 = -3 · 4 -3 · = 24 · = -3 10 5 2 2 5 1 2 5 Write mixed numbers as improper fractions. 5 Multiply by the reciprocal of. 4 1 as an improper fraction. 2 Write 2 Multiply by the reciprocal of 5. 2 Simplify.

Dividing Fractions and Mixed Numbers Additional Example 3: Social Studies Application The life span of a golden dollar coin is 30 years, while paper currency lasts an average of 1 1 years. How many 2 times longer will the golden dollar stay in circulation? 30 ÷ 1 1 = 30 ÷ 3 Write the number as an improper fraction. 2 1 2 30 · 2 3 Multiply by the reciprocal of. = 1 3 2 10 30 · 2 = Simplify. 1 · 31 = 20 or 20 1 The golden dollar will stay in circulation about 20 times longer than paper currency.

Dividing Fractions and Mixed Numbers Workbook Pg. 78

Dividing Fractions and Mixed Numbers HW: Pg. 79 Odd only!