Chp 6.1,6.2,6.3

10. Perform the following subtractions. 3/7 − 2/9 4/5 − 3/4 11/100 − 99/1000

13/63 1/20 11/1000

25. Three-fifths of a class of 25 students are girls. How many are girls?

15

11. Find the difference for the following pairs of numbers. Answers should be written as mixed numbers. 7 5/7, 5 2/3 22 1/6, 15 11/12

2 1/21 6 1/4

28. The school library contains about 5280 books. If five twelfths of the books are for the primary grades, how many such books are there in the library?

2200

10. Perform the following subtractions. 13/18 − 8/27 21/51 − 7/39

23/54 154/663

11. Find the difference for the following pairs of numbers. Answers should be written as mixed numbers. 5 1/3, 6/7 2 2/3, 1 1/4

4 10/21 1 5/12

27. Seven-eighths of the 328 adults attending a school bazaar were relatives of the students. How many attendees were not relatives?

41

26. The Independent party received one-eleventh of the 6,186,279 votes cast. How many votes did the party receive?

562,389

8. Determine whether the following pairs are equal by writing each in simplest form. a. 5/8 and 625/1000 b. 11/18 and 275/450 c. 24/36 and 50/72 d. 14/98 and 8 /56

a b d

16. Find the following quotients using the most convenient of the three methods for division. Express your answer in simplest form. a. 5/7 ÷ 4/9 b. 33/14 ÷ 11/7 c. 5/13 ÷ 3/13 d. 3/11 ÷ 8/22

a. 1 17/28 b. 1 1/2 c. 1 2/3 d. 3/4

4. Find reciprocals for the following numbers. a. 11/21 b. 9/3 c. 13 4/9 d. 108

a. 21/11 b. 3/9 = 1/3 c. 9/121 d. 1/108

5. Change the following mixed numbers to improper fractions. a. 3 5/6 b. 2 7/8 c. 5 1/5 d. 7 1/9

a. 23/6 b. 23/8 c. 26/5 d. 64/9

19. Find the following quotients. a. 8 1/3 ÷ 2 1/10 b. 6 1/4 ÷ 1 2/3 c. 16 2/3 ÷ 2 7/9

a. 250/63 = 3 61/63 b. 15/4 = 3 3/4 c. 6

9. Find the following products. a. 2/3 × 4 1/2 b. 5 1/3 × 2 1/6

a. 3 b. 15/7 or 2 1/7

10. Rewrite in simplest form. a. 21 / 28 b. 49 / 56

a. 3 /4 b. 7/8

7. Perform the following operations and express your answer in simplest form. a. 4/7 × 3/8 e. 4/7 × 3/14

a. 3/14 e. 6/49

4. Find the following sums and express your answer in simplest form. a. 1/8 + 5/8 c. 3/7 + 1/3

a. 3/4 c. 16/21

13. Arrange each of the following from smallest to largest. a. 14/27, 3/7, 9/20 b. 6/13, 17/39, 25/51

a. 3/7 < 9/20 < 14/27 b. 17/39 < 6/13 < 25/51

6. Find the sum for the following pairs of numbers. Answers should be written as mixed numbers. a. 3 3/4, 4/5 b. 2 2/3, 1 1/4 c. 7 5/7, 5 2/3

a. 4 11/20 b. 3 1/11, 1 5/12 c. 13 2/8, 2 1/21

17. Perform the following operations and express your answer in simplest form. a. 7/11 ÷ 11/7 b. 1/3 + 5/4 (1/4 ÷ 5/6) c. 7/8 ÷ 21/4

a. 49/121 b. 17/24 c. 1/6

13. Use the common-denominator method to divide the following fractions. a. 15/17 ÷ 3/17 b. 4/7 ÷ 3/7 c. 33/51 ÷ 39/51

a. 5 b. 4/3 c. 33/39 or 11/13

11. Rewrite as a mixed number in simplest form. a. 525 / 96 b. 1234 / 432

a. 5 15/32 b. 2 185/216

14. Use the fact that the numerators and denominators divide evenly to simplify the following quotients. a. 15/16 ÷ 3/4 b. 21/27 ÷ 7/9 c. 39/56 ÷ 3/8 d. 17/24 ÷ 17/12

a. 5/4 b. 1 c. 13/7 d. 1/2

22. True or false? Explain. a. The greater the numerator, the greater the fraction. b. The greater the denominator, the smaller the fraction. c. If the denominator is fixed, the greater the numerator, the greater the fraction. d. If the numerator is fixed, the greater the denominator, the smaller the fraction.

a. False b. False c. True d. True

4. Find the following sums and express your answer in simplest form. f. 9/22 + 89/121 g. 61/100 + 7/1000 h. 7/10 + 20/100

f. 277/242 g. 617/1000 h. 9/10