1. Warm Up Multiply. 1. 7979 · 3636 2. 9898 · 6565 3. 1515 2 · 7 4. 2 1212 · 1 1414 7 18 27 20 7 or 1 2 77 5 5 or 15 25 8 8 or 3 1

2. Learn to divide fractions and mixed numbers.

3. Vocabulary reciprocal Insert Lesson Title Here

4. When you divide 8 by 4 you find how many 4’s there are in 8. Similarly, when you divide 2 by, you find how many ’s there are in 2. 1313 1313 There are six ’s in 2. 1313

5. Reciprocals can help you divide by fractions. Two numbers are reciprocals if their product is 1. The reciprocal of is 3 because 1313 1313 · 3 = 1313 · 3131 = 3333 = 1. To divide by a fraction, find its reciprocal and then multiply. 2 ÷ 1313 = 2 · 3 = 6

6. Divide. Write each answer in simplest form. A. 3737 ÷ 2525 3737 ÷ 2525 = 3737 · 5252 = 3737 · 5 · 2 = 15 14 or 1 14 1 Multiply by the reciprocal of. 2525 B. 3838 ÷ 12 3838 ÷ = 3838 · 1 = 3838 · 1 1 4 = Multiply by the reciprocal of 12. 1 32 Simplify.

7. Divide. Write each answer in simplest form. A. 3535 ÷ 1212 3535 ÷ 1212 = 3535 · 2121 = 3535 · 2 · 1 = 6565 or 1 5 1 Multiply by the reciprocal of. 1212 B. 3434 ÷ 3 3434 ÷ 3 = 3434 · 1 3 = 3434 · 1 3 1 1 = Multiply by the reciprocal of 3. 1 4 Simplify.

8. Divide. Write each answer in simplest form. A.5 2323 ÷ 1 1414 5 2323 ÷ 1 1414 = 17 3 ÷ 5454 = 17 3 · 4545 = 68 15 or 4 8 15 Write mixed numbers as improper fractions. Multiply by the reciprocal of 5454 B. 3434 ÷ 2 1212 3434 ÷ 2 1212 = 3434 ÷ 5252 = 3 4 · 2525 = 3·2 4·5 1 2 = 3 10 Write 2 as an improper fraction. 1212 Multiply by the reciprocal of. 5252 Simplify..

9. Divide. Write the answer in simplest form. C. 8 2323 ÷ 13 27 8 2323 ÷ 13 27 = 26 3 ÷ 13 27 = 26 3 · 27 13 9 1 2 1 = 18 1 or 18 Write 8 as an improper fraction. 2323 Multiply by the reciprocal of. 13 27 = 26 3 · 27 13 ·

10. Divide. Write each answer in simplest form. A.3 2323 ÷ 1 1212 3 2323 ÷ 1 1212 = 11 3 ÷ 3232 = 11 3 · 2323 = 22 9 or 2 4 9 Write mixed numbers as improper fractions. Multiply by the reciprocal of 3232 B. 3535 ÷ 1 2525 3535 ÷ 1 2525 = 3535 ÷ 7575 = 3 5 · 5757 = 3·5 5·7 1 1 = 3 7 Write 1 as an improper fraction. 2525 Multiply by the reciprocal of. 7575 Simplify..

11. Divide. Write the answer in simplest form. C. 7 1515 ÷ 18 5 7 1515 ÷ 18 5 = 36 5 ÷ 18 5 = 36 5 · 5_ 18 1 1 2 1 = 2121 or 2 Write 7 as an improper fraction. 1515 Multiply by the reciprocal of. 18 5 = 36 5 · 18 ·

12. The life span of a golden dollar coin is 30 years, while paper currency lasts an average of 1 years. How many 1212 times longer will the golden dollar stay in circulation? 30 ÷ 1 1212 = 30 1 ÷ 3232 Write the number as an improper fraction. = 30 1 · 2323 Multiply by the reciprocal of. 3232 = · Simplify. 30 2 1 3 10 1 = 20 1 or 20 The golden dollar will stay in circulation about 20 times longer than paper currency. ·

13. The average life of a queen ant is approximately 3 years. The life span of a worker ant is year. How many 3737 times longer will the queen ant live? 3 ÷ 3737 = 3131 ÷ 3737 Write the number as an improper fraction. = 3131 · 7373 Multiply by the reciprocal of. 3737 = · Simplify. 3 7 1 3 1 1 = 7171 or 7 The queen ant will live 7 times longer than the worker ant. ·

14. Homework Divide. Write each answer in simplest form. 1. 2. 8 ÷ 4545 5959 ÷ 1818 3. 3535 ÷6 5. There are 5 1414 yards of silk in a roll. If it takes 3434 of a yard to make one designer scarf, how many scarves can be made from the roll? 3 4. 2 1212 ÷ 1717