Page 78 - Maths Skill - 6

76 Maths

We convert the given fractions into equivalent fractions with denominator 12.

2 2 # 4 8 3 3 # 3 9 1 1 # 6 6
2 = 2 # 4 = 8 ; 3 = 3 # 3 = 9 ; 1 = 1 # 6 = 6
3 = 3 # 4 = 12 4 = 4 # 3 = 12 2 = 2 # 6 = 12
;
;
3 3 # 4 12 4 4 # 3 12 2 2 # 6 12
−
+ −
2 3 1 8 9 6 89 6 17 6 11
−
+ −
Now 2 + 3 − 1 = 8 + 9 − 6 = 89 6 = 17 6 = 11
Now 3 + 4 − 2 = 12 + 12 − 12 = 12 = 12 = 12
3 4 2 12 12 12 12 12 12
2 3
Example 10: Asha bought of ribbon and Veena bought of ribbon. What is the total length of the ribbon
5 4
they bought?
3
2
Solution: Asha bought m of ribbon. Veena bought m of ribbon.
5 4
2 3 815+
Total length of ribbon = + m = [LCM of 5 and 4 = 20]
5 4 20
23 3  20 54 42 8 ,
= = 1 m
20 20 20 45 53 15 ,

1
5
Example 11: Pinky’s school is km from her house. She walked some distance and then took a bus for km
9 3
to reach the school. How far did she walk?
5
Solution: Distance of Pinky’s school from her house = km
9

1
Distance travelled by bus = km
3

5 1
\ Pinky walked = 53 2 km
9 3 9 9

Exercise 5.5

1. Add the following.

6 3 7 5 31 19 23 11 4 8
(i) + (ii) + (iii) + + (iv) + +
11 11 17 17 77 77 77 21 21 21

2. Find the sum.

1
1 5 2 7 3 1 5 + 1
(i) + (ii) + (iii) + (iv) 7
17 34 5 25 71 142 2 3
2
1
1 1 1 1 1 3 1 6 ++ 1
(v) + 6 (vi) 5++ 5 (vii) ++ 5 (viii) 1
9 3 2 2 7 9 2 3 9 27