RS Aggarwal Class 6 Math Fifth Chapter Fractions Exercise 5E Solution
EXERCISE 5E
1.) 5/8+ 1/8
Solution:
6/8
= ¾ (After cut 6 and 8 by 2)
2.) 4/9 + 8/9
= 12/9
= 4/3 (After cut 12 and 9 by 3)
3.) 1 3/5+ 2 4/5
= 8/5 + 14/5
= 22/5
4.) 2/9+ 5/6
= 4+15/18
= 19/18
5.) 7/12 + 9/16
= 28+27/48
= 55/48
6.) 4/15 + 17/20
= 16+51/60
= 67/60
7.) 2 3/4+ 5 5/6
= 11/4 + 35/6
= 33+70 / 12
= 103/12
= 8 7/12
8.) 3 1/8 + 15/12
= 25/8 + 15/12
= 125+30/24
= 155/24
= 6 11/24
9.) 2 7/10 + 3 8/15
= 27/10 + 53/15
= 51+106 / 30
= 157/30
10.) 3 2/3 + 1/5/6 +2
= 11/3 + 11/6 + 2
= 22+11+12/6
= 45/6
= 7 3/6
= 7 1/2
11.) 3 + 1 4/15 + 1 3/20
= 3 + 19/15 + 23/20
= 180+76+69 / 60
= 325/60
= 65/12 (After cut both denominator and numerator by 5)
= 5 5/12
12.) 3 1/3 + 4 1/4 + 6 1/6
= 10/3 + 17/4 + 37/6
= 40+51+74 / 12
= 115/12
= 9 7/12
13.) 2/3+ 3 1/6 + 4 2/9 + 2 5/18
= 2/3 + 19/6 + 38/9 + 41/18
= 12+57+76+41 / 18
= 186/18
= 31/3 (After cut both the number by 6)
= 5 1/6
14.) 2 1/3 + 1/14 + 25/6 + 3 7/12
= 7/3 + 5/4 + 17/6 + 43/12
= 28+15+34+43 / 12
= 120/12
= 10
15.) 2 + 3/4+ 1 5/8 + 3 7/16
= 2 + ¾ + 13/8 + 55/16
= 32+12+26+15 / 16
= 85/16
= 5 5/16
16.) Rohit bought a pencil for 3 2/5 and an eraser for 2 7/10. What is the total cost of both the articles?
Solution:
Here in the question, we have to find total cost
So, we have to addition
Therefore,
3 2/5 + 2 7/10
= 17/5 + 27/10
= 34+27 / 10
= 61/10
= 6 1/10
17.) Sohini bought 4 1/2 m of cloth for her kurta and 2 2/3 m of cloth for her pyjamas. How much cloth did she purchase in all?
Solution:
Here in the question we have to find total meter of cloth that Sohini purchase.
So, if we add then the answer will come
Therefore,
4 ½ + 2 2/3
= 9/2 + 8/3
= 27+16 / 6
= 46/6
= 7 4/6
= 7 2/3
18.) While coming back home from his school, Kishan covered 4 3/4 km by rickshaw and 1 1/2km on foot. What is the distance of his house from the school?
Solution:
Total Distance covered by Kishan
4 3/4 + 1 ½
= 19/4 + 3/2
= 19+12/4
= 31/4
= 7 ¾
The answer is 7 ¾ m cloth did he buy.
19.) The weight of an empty gas cylinder is 16 4/5 kg and it contains 14 2/3 kg. What is the weight of the cylinder filled with gas?
Solution:
The weight of the cylinder filled with gas
16 4/5 + 14 2/3
= 84/5 + 44/3
= 252+210 / 15
= 462 / 15
= 3 12/15
= 3 4/5
Ans. The total weight if the cylinder filled with gas = 3 4/5 kg.
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