This document contains instructions and examples for dividing fractions. It explains that to divide fractions, you change the fractions to improper fractions, multiply by the reciprocal, divide out common factors, and then multiply the numerators and denominators. It provides step-by-step worked examples of dividing fractions by fractions and fractions by whole numbers. The document concludes with homework problems for students to practice dividing fractions.

1. Before the bell rings... Have your assignment out on your desk. Have your covered textbook with you. 9/5 x 7/11 = 2. Which number is forty-four and four hundred four thousandths? A. 44.044 B. 44.404 C. 44.0404

2. Before the bell rings... Have your assignment out on your desk. Have your covered textbook with you. 9/5 x 7/11 = 2. Which number is forty-four and four hundred four thousandths? A. 44.044 B. 44.404 C. 44.0404 1 8/55

3. Essential Questions What is the value of studying fractions? What is the relationship between good number sense and working with fractions?

4. Fractions Dividing

5. Rule for ÷ Change the fractions to improper fractions Change the problem to multiplying by the reciprocal Divide out common factors Multiply the numerator Multiply the denominator Simplify fraction into lowest terms

6. Try these examples = = = = =

7. Try these examples = = =

8. GUIDED PRACTICE for Examples 1 and 2 Find the quotient. Simplify if possible. Multiply. 1. 5 8 7 10 ( ) – 10 Multiply by , the reciprocal of 5 8 – 7 7 10 = 5 8 – 4 5 25 28 – =

9. EXAMPLE 2 Dividing a Fraction by a Whole Number Multiply fractions. Divide out common factor. Multiply. 2 13 = 3 6 13 3 1 = 6 13 2 1 6 13 1 3 = , so the reciprocal of 3 is 3 1 3 3 1 = 1 .

10. GUIDED PRACTICE for Examples 1 and 2 Find the quotient. Simplify if possible. Multiply. 3. – 7 12 3 4 – 12 Multiply by , the reciprocal of 3 4 7 – – – 7 12 = 3 4 – 3 1 2 7 1 or 9 7 =

11. GUIDED PRACTICE for Example 3 Find the quotient. Simplify if possible. Multiply. Divide out common factor. Multiply. 5. 4 2 7 6 2 7 6 4 = 44 7 1 4 = 44 7 1 4 Multiply by , the reciprocal of 44 7 1 4 Write 2 7 6 as improper fraction = 44 7 4 11 1 1 4 7 or 11 7 =

12. GUIDED PRACTICE for Example 3 Find the quotient. Simplify if possible. Multiply. Divide out common factor. Multiply. 7. 10 1 3 3 3 = = 10 1 10 3 = 10 1 3 10 Multiply by , the reciprocal of 3 10 10 3 Write 1 3 3 as improper fraction = 10 3 10 1 10 1 3 3

13. GUIDED PRACTICE for Example 3 Find the quotient. Simplify if possible. Multiply. Divide out common factor. Multiply. 8. – 15 – 2 3 4 5 8 = 63 4 21 8 – 6 = = 63 4 8 21 – = 63 4 (– 8) 21 Multiply by , the reciprocal of 63 4 – – 21 8 5 8 – 2 3 4 – 15 1 1 2 3 Write 3 4 15 5 8 – 2 and as improper fractions. –

14. Homework Page 249 #1-10, 28-31, 53-54