Notes 3 7 Dividing Fractions and Mixed Numbers

Notes 3. 7 Dividing Fractions and Mixed Numbers In order to divide fractions and mixed numbers you must be good at multiplying fractions and mixed numbers, so, review your multiplying skills. To divide one fraction by another fraction, multiply the first fraction by the reciprocal of the second fraction.

Two fractions are reciprocals if their product is 1. So, 5/8 and 8/5 are reciprocals because 5*8=40= 1 8 5 40 To divide two mixed numbers, first rewrite them as improper fractions. Then multiply the first fraction by the reciprocal of the second. If you are multiplying by a whole number, put the whole number over 1.

Examples: 1)9 / 3 = 9 * 4 = 36 = 6 2) 2 4 2 3 6 3) A good problem to use cancellation. 4)2) 4½ / 3¼= 9 / 13 = 9 * 4 = 36 = 1 5/13 5) 2 4 2 13 26

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homework answers 6) B 7) D 8) C 9) A 10) 1/6 11) 1 24/25 12) 20 13) 4/11 14) 3/7 15) 1 17/39 16) 12 17) ¾ 18) 5/9 19) 1/5 20)3/8 21) 1½ 22) 1/7 23)8/3 24) 6 servings with 6/15 oz. left over

25) 2 1/24 ft. ; 1½ times 27) C 28) $27¼ 26) A Chapter Review 1) 18 2) 30 3) 176 4) 360 5) 6 4/5 6) 17/2 7) 4. 375 8) 22/9 9) 2 5/12 ft. 10) 2 7/10 ft. 11) 7 1/24 12) 6 13/56 13) 5¾ 14) 13/15

15) 17) 19) 21) 6 9/10 million 16) ½ million 7/12 18) 20 44/45 m 2 22. 4 20) 6 m+12; 30, 30 5/6 22) 9 23/24 in. Chapter Assessment 1) 90 2) 210 3) 204 5) A=1 1/5, 6/5, 1. 2 B=1 4/5, 9/5, 1. 8 4) 360

C=2½, 5/2, 2. 5 D=2 9/10, 2. 9 E=3 1/10, 3. 1 F=3 7/10, 3. 7 6) 1/3 7) 5 2/7 8) 11 1/6 9) 2 3/20 10) 17/18 11) ½ 12) 2 5/8 13) 1 17/27 14) 10 1/12 15) 7/10 16) 1 5/7

17) 52½ 18) 4 19) 2 1/27 21) 1 1/18 22) 1/6 23) 2½ 24) 2 m+12 25) 8 t+40 26) 12 p+23 p or 35 p 27) downhill 28) 5/24 29) downhill: 18, cross country: 8, jet: 4, water: 12; in each case, multiply the portion by the total number of people, 48. 30) 6; 1/8 x 48=6

STP 1) B 2) C 3) C 4) B 5) D 6) B 7) C 8) A