The document provides examples and steps for multiplying fractions and mixed numbers. It gives the rule for multiplying fractions by changing them to improper fractions, dividing out common factors, multiplying the numerators and denominators, and simplifying. Examples are provided for multiplying fractions, mixed numbers, and finding the area of a rectangle and triangle using fractions. Students are given practice problems to solve.

1. Before the bell rings... Have your assignment out on your desk. Have your covered textbook with you. 13 2/9 + 133 1/3 = Use words to write this number. 0.0616

2. Before the bell rings... Have your assignment out on your desk. Have your covered textbook with you. 13 2/9 + 133 1/3 = Use words to write this number. 0.0616 146 5/9 Six hundred sixteen ten thousandths

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

4. Fractions Multiplying

5. Rule for x Change the fractions to improper fractions Divide out common factors Multiply the numerator Multiply the denominator Simplify fraction into lowest terms

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8. EXAMPLE 1 Multiplying Fractions Use rule for multiplying fractions. Evaluate numerator and denominator. Use rule for multiplying fractions. Divide out common factors. Multiply. a. – 2 5 – ( ) 2 3 = – 2 (– 2) 5 3 = 4 15 b. 3 10 – 5 6 = – 3 5 10 6 = – 3 5 10 6 2 – 1 1 2 1 4 – =

9. GUIDED PRACTICE for Example 1 Find the product. Simplify if possible. Use rule for multiplying fractions. Divide out common factors. Multiply. 1. 5 12 – 9 10 = – 5 9 12 10 = – 5 9 12 10 2 – 1 3 4 3 8 – =

10. SOLUTION Write formula for area of a rectangle. Substitute values. Write as improper fractions. Use rule for multiplying fractions. EXAMPLE 2 Multiplying Mixed Numbers Postcards Multiply. = 5 1 2 3 3 4 = 11 2 15 4 = 11 15 2 4 A postcard is inches long and 3 inches wide. Find the area of the postcard. 5 1 2 3 4 = 165 8 , or 20 5 8 Area length width =

11. EXAMPLE 2 Multiplying Mixed Numbers The area of the postcard is square inches. ANSWER 20 5 8

12. GUIDED PRACTICE for Example 2 and 3 Find the product. Simplify if possible. Write as improper fractions. Use rule for multiplying fractions. Multiply. 5. 1 2 5 3 1 2 = 7 5 7 2 = 7 7 5 2 = 49 10 , or 4 9 10

13. GUIDED PRACTICE for Example 2 and 3 Find the product. Simplify if possible. Write as improper fractions. Use rule for multiplying fractions. Multiply. (–1 ) 6. 5 1 2 5 6 = 11 2 – 11 6 = 11 – 11 2 6 = – 121 12 , or – 10 1 12

14. GUIDED PRACTICE for Example 2 and 3 Find the product. Simplify if possible. Write as improper fractions. Use rule for multiplying fractions. Multiply. 8. (– ) 2 1 3 3 4 – = – 7 – 3 3 4 = 7 4 , or 1 3 4 = – 3 4 – 7 3 ( ) – 1 1

15. Homework Page 245 #1-13, 19-20, 33-35 Area Rectangle = bh or lw Triangle= ½ bh