THE MEANING OF MULTIPLYING FRACTIONS
PARTS OF FRACTIONS
PROBLEMS (2)
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10. How much is
10. |
a) Half of ¼?
| 1 8 |
|
b) A third of ¼? |
1 12 |
10. |
c) A fourth of ¼?
| 1 16 |
|
d) Half of |
3 7 |
? |
3 14 |
|
e) A third of |
4 9 |
? |
4 27 |
|
f) A fifth of |
7 8 |
? |
7 40 |
11. How much is
11 |
a) Half of |
2 5 |
? |
1 5 |
|
b) Half of |
4 5 |
? |
2 5 |
|
|
c) Half of |
8 9 |
? |
4 9 |
|
d) Half of |
6 7 |
? |
3 7 |
12. How much is
10. |
a) A third of |
3 5 |
? |
1 5 |
|
b) A third of |
2 5 |
? |
2 15 |
12. |
c) A third of |
6 7 |
? |
2 7 |
|
d) A third of |
5 7 |
? |
5 21 |
10. |
e) A fifth of |
10 11 |
? |
2 11 |
|
f) A sixth of |
5 6 |
? |
5 36 |
12. |
g) An eighth of |
8 9 |
? |
1 9 |
|
h) A ninth of |
2 3 |
? |
2 27 |
13. How much is
13. |
a) Half of 6½? 3¼ |
|
b) A third of 6½? |
2 |
1 6 |
13. |
c) A fourth of 8 |
1 3 |
? |
2 |
1 12 |
|
d) Half of 4 |
2 5 |
? |
2 |
1 5 |
13. |
e) A third of 12 |
3 4 |
? |
4 |
1 4 |
|
f) Half of 2 |
4 5 |
? |
1 |
2 5 |
14. What ratio has
12. a) |
1 4 |
to |
1 2 |
? Half |
|
b) |
1 6 |
to |
1 2 |
? A third |
|
12. c) |
1 8 |
to |
1 2 |
? A fourth |
|
d) |
2 5 |
to |
2 15 |
? Three times |
|
12. e) |
5 8 |
to |
5 32 |
? Four times |
|
f) |
3 16 |
to |
3 4 |
? One fourth |
15 Percent.
In this sequence, each fraction is which part of the
15. previous fraction? Half
1 2 |
|
1 4 |
|
1 8 |
|
1 16 |
|
1 32 |
|
50% |
|
25% |
|
12½% |
|
6¼% |
|
3 |
1 8 |
% |
15. Each fraction is equal to a percent. Therefore, each percent will
15. be which part of the previous
percent? Half
15. Each fraction is equal
to what percent?
16. Calculate.
16. |
a) Two thirds of |
5 7 |
| = |
10 21 |
|
b) Three eighths of |
1 9 |
= |
1 24 |
16 |
c) Two ninths of |
3 8 |
= |
1 12 |
|
d) Three fourths of |
8 9 |
= |
2 3 |
17. If a pie is cut in half, and each half is cut into eighths, then each piece
17. is which part of the pie? One sixteenth.
18. If a pie is cut into thirds, and each third is cut into fourths, then
18. each piece is which part of the pie? One twelfth.
19. If a car can travel 24½ miles on a gallon a gas, then how far can it
travel on a third of a gallon? |
8 |
1 6 |
miles. |
20. A recipe calls for 4½ cups of flour and 2 |
2 3 |
cups of milk. You are |
20. going to make half the recipe. Calculate mentally how much flour
20. you will use and how much milk.
2¼ |
cups flour. |
|
1 |
1 3 |
cups milk. |
21. You are going to make five cakes; each cake requires 2¼ cups of
21. flour and 1 |
2 3 |
cups sugar. Calculate mentally how much flour you |
21 will use and how much sugar.
11¼ |
cups flour. |
|
8 |
1 3 |
cups sugar. |
22. On a test, you answered 9 out of 10 questions, and you got five sixths
of them right. What fraction of the questions did you get right? |
3 4 |
22. What was your numerical grade? 75%
23. A recipe calls for 4 cups of flour and 5 cups of milk. You are going
22. to use only 3½ cups of flour. Proportionally, how much milk should
you use? |
7 8 |
× 5 = 4 |
3 8 |
cups milk |
24. Each shelf of a bookcase is 2 |
3 4 |
feet, and there are 8 shelves; if lumber |
22. costs $1.50 a foot, what will be the cost of the lumber for the 8
22. shelves? $33
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