MULTIPLY FRACTIONS,
DIVIDE FRACTIONS
PROBLEMS
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Do the problem yourself first!
1. Multplying by a whole number
1. a) 4 × |
2 9 |
= |
8 9 |
|
b) 3 × |
3 10 |
= |
9 10 |
|
c) 5 × |
3 16 |
= |
15 16 |
1. d) 5 × |
3 8 |
= |
15 8 |
= 1 |
7 8 |
|
e) 7 × |
2 3 |
= 4 |
2 3 |
|
f) 9 × |
4 5 |
= 7 |
1 5 |
2. Do not change the mixed number to an improper fraction!
See Examples 6 and 7.
2. a) 3 × 2 |
1 4 |
= 6 |
3 4 |
|
b) 2 × 6 |
2 5 |
= 12 |
4 5 |
|
c) 5 × 3 |
2 11 |
= 15 |
10 11 |
2. d) 8 × 7 |
1 8 |
= 57 |
|
|
e) 2 × 3 |
3 5 |
= 7 |
1 5 |
|
f) 9 × 4 |
2 7 |
= 38 |
4 7 |
2. g) 7 × 6 |
2 3 |
= 46 |
2 3 |
|
h) 5 × 8 |
9 10 |
= 44½ |
|
|
i) 6 × 7 |
3 8 |
= 44¼ |
3. Mental calculation.
3.
a) 4 × $3.25 = $13.00
b) 6 × $5.25 = $31.50
3.
c) 7 × $9.50 = $66.50
d) 3 × $4.80 = $14.40
4. Reduce before multiplying, if possible.
4. a) |
3 5 |
× |
7 8 |
= |
21 40 |
|
b) |
5 8 |
× |
7 9 |
= |
35 72 |
|
c) |
3 8 |
× |
4 9 |
= |
1 6 |
4. d) |
2 3 |
× |
3 4 |
= |
1 2 |
|
e) |
2 15 |
× |
9 8 |
= |
3 20 |
|
f) |
6 35 |
× |
20 21 |
= |
8 49 |
4. g) |
7 12 |
× |
8 21 |
= |
2 9 |
|
h) |
9 10 |
× |
25 33 |
= |
15 22 |
|
i) |
4 9 |
× |
9 4 |
= |
1 |
1. j) 12 × |
5 18 |
= 3 |
1 3 |
|
k) 12 × |
7 9 |
= 9 |
1 3 |
|
l) 42 × |
3 7 |
= 18 |
4. m) |
1 3 |
× |
2 3 |
× |
5 7 |
= |
10 63 |
|
n) |
2 3 |
× |
3 5 |
× |
1 4 |
= |
1 10 |
|
o) |
6 20 |
× |
4 3 |
× |
5 2 |
= |
1 |
5. Multiply.
5. a) 5 |
1 4 |
× 2 |
2 3 |
= 14 |
|
|
b) 2 |
2 3 |
× 4 |
1 2 |
= 12 |
|
|
c) 6 |
3 4 |
× 1 |
2 5 |
= 9 |
9 20 |
5. d) 1 |
5 7 |
× 1 |
5 9 |
= 2 |
2 3 |
|
e) 1½ × 1½ × 1½ |
= 3 |
3 8 |
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Copyright © 2021 Lawrence Spector
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