Page 54 - Mathematics of Business and Finance

34 Chapter 1 | Review of Basic Arithmetic

CONVERTING AN IMPROPER FRACTION INTO A MIXED NUMBER

3. Convert the following improper fractions into mixed numbers:
23 35 46 43
a. b. c. d.
12 6 5 3
4. Convert the following improper fractions into mixed numbers:
12 17 31 14
a. b. c. d.
7 8 9 5
CONVERTING A FRACTION INTO AN EQUIVALENT FRACTION

5. Determine the missing values:
5 20 ? 12 ? 4 36 ? 30 9 27 ?
a. = = b. = = c. = = d. = =
5 ? 24 9 18 ? 42 14 ? 4 ? 20
6. Determine the missing values:

2 ? 12 15 3 ? 22 ? 55 75 25 ?
a. = = b. = = c. = = d. = =
3 12 ? 25 ? 35 12 6 ? 45 ? 18
FRACTION IN LOWEST (OR SIMPLEST) TERMS

7. Reduce the following fractions to their lowest terms:
70 225 124 75
a. b. c. d.
15 30 48 345
8. Reduce the following fractions to their lowest terms:

80 156 68 36
a. b. c. d.
12 18 10 144
9. Which of the following fractions is smaller:
7 9 2 3 12 35 13 13
a. or b. or c. or d. or
11 11 5 8 15 45 15 17

10. Which of the following fractions is larger:
9 11 8 13 5 16 15 15
a. or b. or c. or d. or
20 20 7 12 13 39 23 27
BASIC ARITHMETIC OPERATIONS WITH FRACTIONS
For Problems 11 to 40, perform the indicated arithmetic operations. Express the answers reduced to lowest terms and in mixed
number form, wherever applicable.
1 3 9 4 1 3 1 1
11. a. + b. + c. 7 + 2 d. 16 + 1
3 8 12 5 12 4 8 2
7 5 11 8 1 2 2 5
12. a. + b. + c. 11 + 5 d. 5 + 1
9 6 20 10 4 3 3 12
9 1 21 7 5 5 4 1
13. a. – b. – c. 5 – 3 d. 12 – 5
10 2 25 8 8 6 3 3

21 1 35 3 5 1 5 2
14. a. – b. – c. 8 – 4 d. 18 – 2
13 3 18 6 12 2 7 3
3 5 7 1 2 3 29
15. a. × b. 3 × c. 4 × 2 d. 9 × 1
8 11 9 2 9 5 96
4 23 6 19 7 2 4 1
16. a. × b. × c. 2 × 5 d. 11 × 1
5 9 9 12 9 5 3 74