Page 144 - Start Up Mathematics_6

1 5 10 16
Group I: Fractions equivalent to : , ,
6 30 60 96
1 4 15 12
Group II: Fractions equivalent to : , ,
5 20 75 60
Example 27: Find answers to the following. Write and indicate how you solved them.
4
7
4
(a) Is equal to ? (b) Is equal to 16 ?
9 5 5 20
Solution: (a) LCM of the denominators is 9 × 5 = 45.
7 7 × 5 35 4 4 × 9 36 7 4
Now, = = and = = . Hence, ≠ .
9 9 × 5 45 5 5 × 9 45 9 5
(b) LCM of denominators 5 and 20 is 20.
4 4 4 16 16 16 4 16
Now = × = and = . Hence, = .
5 5 4 20 20 20 5 20 3
Example 28: Shikha reads 20 pages of a book containing 100 pages. Nikhil reads of the same
book. Who reads more? 5
20 1
Solution: The fraction of book Shikha reads = 100 = 5
1 3 3
We know that < . ( Nikhil reads of the book)
5 5 5
∴ Nikhil reads more.

EXERCISE 7.2

1. Write the fraction representing the shaded portion. Which of these are equal?

(a) (b) (c) (d)

2. Put appropriate number in the to make each of the following true:

4 8 2 12 3 9
(a) = (b) = (c) = (d) =
9 7 21 24 4 7

5
3. Find the fraction equivalent to with (a) numerator 25 (b) denominator 42
7
1 1 3 5
4. Arrange , , , in ascending order.
2 3 4 6
1 1 3 5
5. Arrange , , , in descending order.
4 6 8 12

6. In one section of a class having 45 students, 15 are girls. In scholar’s section of the same
class having 30 students, 12 are girls. In which section is the fraction of girls greater?

136