Page 31 - ICSE Math 7

4
3
Since 20 < 21 , so < .
35 35 7 5
3
4
4
3
A fraction between and is 4 + 3 = 7 such that < 7 < .
7 5 7 + 5 12 7 12 5
4
3
Also, 4 < 4 + 7 < 7 < ⇒ < 11 < 7 < 3
7 7 + 12 12 5 7 19 12 5
4 7 7 + 3 3 4 7 10 3
or < < < ⇒ < < <
7 12 12 + 5 5 7 12 17 5
4
3
,
Thus, the two required fractions between and are 11 7 or 7 , 10 .
5 7 19 12 12 17
EXERCISE 2.1

1. Express the following as mixed fractions.

(a) 98 (b) 200 (c) 423 (d) 945
11 15 22 42
2. Express the following as improper fractions.
3
4
5
(a) 3 (b) 13 (c) 22 (d) 12 105
7 9 5 107
3. Convert the following fractions to like fractions.

,
,
,
(a) 7 , 5 (b) 19 9 (c) 7 22 12
12 20 26 4 5 25 15
4. Which one is greater?
(a) 10 or 9 (b) 21 or 22 (c) 19 or 12
13 13 25 27 24 34
5. Arrange the following fractions in ascending order.

7 9
,
,
(a) 5 , , (b) 11 19 23 (c) 6 15 29 46
,
,
,
12 6 10 12 24 36 11 22 33 99
6. Arrange the following fractions in descending order.
,
,
(a) 8 , 7 , 9 (b) 9 , 5 29 (c) 5 11 13 7
,
,
15 20 35 16 24 42 48 36 30 12
7. Insert a fraction between 20 and 25 .
21 26
7 15
8. Insert two fractions between and .
11 19
9. Verify that 16 and 288 are equivalent fractions.
45 810

Fundamental Operations on Fractions

There are many situations where we need to add, subtract, multiply or divide fractions. Let’s learn to
deal these operations on fractions.

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