Page 72 - Math Skill - 5

70 Maths

3 3
Example 2: From a cable 9 metres long, two pieces of length 2 metres and 3 metres were
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used. What is the length of remaining cable wire? 10

Solution: Total length of cable = 9 m
3 3 13 33 26 33+ 59
Total length used = 2 m + 3 m = + = = m
5 10 5 10 10 10

 59  90 59− 31 1
Length of remaining cable = 9 − 10  m = 10 = 10 = 3 10 m



1
Hence, the length of remaining cable wire is 3 m.
5 1 10
Example 3: What must be added to 3 to make 6 14 ?
7
5
Solution: Here, 3 + ? = 6 1 ?
7 14 1 5
The fraction to be added = 6 − 3 = 85 − 26 = ( 85 ×1) − 262( × )
14 7 14 7 14

= 85 − 52 = 33 = 2 5
5 14 14 14
Hence, 2 must be added.
14
4
Example 4: What must be subtracted from 6 to get 1 7 ?
5
4 7 10
Solution: Here 6 −=? 1
5 10
4
The fraction to be subtracted = 6 – 1 7 = 34 − 17
5 10 5 10

× )
= (34 × ) (2 − 171 = 68 − 17 = 51 = 5 1
1 10 10 10 10
Hence, 5 must be subtracted.
10

Exercise 5.6

2
4
1. A painter had a new can of paint. He used 1 of the paint to paint a chair and 2 to paint
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7
a table. How much paint was used in total?
2. Meeta and Vikas each ate 5 part of a cake. What portion of the cake is left now?
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3
1
3. A drum full of wheat weighs 50 kg. If the empty drum weighs 11 kg, find the weight of
6 4
wheat in the drum.
1 15
4. Rahul bought 7 kg of rice and Reena bought 4 kg of rice.
2
(a) How much rice did they buy altogether?
(b) Who bought more rice and by how much?