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# 5.3 multiplying fractions updated

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### 5.3 multiplying fractions updated

1. 1. <ul><li>Before the bell rings... </li></ul><ul><ul><li>Have your assignment out on your desk. </li></ul></ul><ul><ul><li>Have your covered textbook with you. </li></ul></ul><ul><ul><li>13 2/9 + 133 1/3 = </li></ul></ul><ul><ul><li>Use words to write this number. 0.0616 </li></ul></ul>
2. 2. <ul><li>Before the bell rings... </li></ul><ul><ul><li>Have your assignment out on your desk. </li></ul></ul><ul><ul><li>Have your covered textbook with you. </li></ul></ul><ul><ul><li>13 2/9 + 133 1/3 = </li></ul></ul><ul><ul><li>Use words to write this number. 0.0616 </li></ul></ul>146 5/9 Six hundred sixteen ten thousandths
3. 3. Essential Questions <ul><li>What is the value of studying fractions? </li></ul><ul><li>What is the relationship between good number sense and working with fractions? </li></ul>
4. 4. Fractions Multiplying
5. 5. Rule for x <ul><li>Change the fractions to improper fractions </li></ul><ul><li>Divide out common factors </li></ul><ul><li>Multiply the numerator </li></ul><ul><li>Multiply the denominator </li></ul><ul><li>Simplify fraction into lowest terms </li></ul>
6. 6. Try these examples = = = = =
7. 7. Try these examples = = =
8. 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. 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. 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. 11. EXAMPLE 2 Multiplying Mixed Numbers The area of the postcard is square inches. ANSWER 20 5 8
12. 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. 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. 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. 15. Homework <ul><li>Page 245 #1-13, 19-20, 33-35 </li></ul><ul><li>Area </li></ul><ul><ul><li>Rectangle = bh or lw </li></ul></ul><ul><ul><li>Triangle= ½ bh </li></ul></ul>