Page 73 - Math Skill - 4

Fractions 71

Example 3: Convert each of the following mixed fractions into improper fractions.

(a) 2 3 (b) 3 1
7 5

Solution: (a) 2 3 = ( 27× ) + 3 = 14 3+ = 17
7 7 7 7

) 1
×
1 (35 + 15 1+ 16
(b) 3 = = =
5 5 5 5
Example 4: Convert the following improper fractions into mixed fractions.

21 41 91
(a) (b) (c)
4 7 9

21 1 41 6 91 1
Solution: (a) = 5 (b) = 5 (c) = 10
4 4 7 7 9 9

5 5 10
4 21 7 41 9 91
– 20 – 35 – 9
1 6 1
– 0
1

Exercise 5.3

1. Which of the following are groups of like fractions?

3 4 1 2 1 2 4 5 6
(a) , (b) , , (c) , , ,
5 5 7 3 4 9 9 9 9

1 3 3 4 5 3 1 4 7 5 7 8 3
(d) , , , (e) , , , , (f) , , ,
5 7 8 7 11 11 11 11 11 4 8 11 7

2. Write three like fractions with:

(a) denominator 3 (b) denominator 5 (c) denominator 11

3. Which of the following are proper fractions?

(a) 3 (b) 9 (c) 4 (d) 81
7 9 5 80

4. Which of the following are improper fractions?
11 8 16 14
(a) (b) (c) (d)
5 19 5 29