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Chapter 6: Fractions – Exercise 6.9 Question: 1 Add: i) 3/4 and 5/6 ii) 7/10 and 2/15 iii) 8/13 and 2/3 iv) 4/5 and 7/15 Solution: i) Given: 3/4 and 5/6 LCM of 4 and 6 is 12, so we will convert each fraction into an equivalent fraction with denominator 12. ii) Given: 7/10 and 2/15 LCM of 10 and 15 is 30, so we will convert each fraction into an equivalent fraction with denominator 30. iii) Given: 8/13 and 2/3 LCM of 13 and 3 is 39, so we will convert each fraction into an equivalent fraction with denominator 39. iv) Given: 4/5 and 7/15 LCM of 5 and 15 is 1, so we will convert each fraction into an equivalent fraction with denominator 15. Question: 2 Subtract: Solution: i) Given: 2/7 and 19/21 LCM of 21 and 7 is 21, so we will convert each fraction into an equivalent fraction with denominator 21. ii) Given: 21/25 and 18/20 LCM of 20 and 25 is 100, so we will convert each fraction into an equivalent fraction with denominator 100. iii) Given: 2/1 and 7/16 LCM of 1 and 16 is 16, so we will convert each fraction into an equivalent fraction with denominator 16. LCM of 5 and 15 is 15, so we will convert each fraction into an equivalent fraction with denominator 15. Question: 3 Find the difference of: i) 13/24 and 7/16 i) 5/18 and 4/15 i) 1/12 and 3/4 i) 2/3 and 6/7 Solution: i) Given: 13/24 and 7/16 ii) Given: 5/18 and 4/15 iii) Given: 3/4 and 1/12 iv) Given: 6/7 and 2/3 Question: 4 Subtract as indicated: Solution: i) Given: 8/3 and 5/9 Question: 5 Simplify: Solution: Question: 6 Replace * with a correct number: Solution: Therefore, 7/8 Question: 7 Savita bought 2/5 m of ribbon and kavita 3/4 m of ribbon. What was the total length of the ribbon they bought? Solution: Length of the ribbon bought by savita = 2/5 metres Length of the ribbon bought by kavita = 3/4 metres Total length of the ribbon bought by them: Question: 8 Ravish takesminutes to walk across the school ground. Rahul takes 7/4 minutes to do the same. Who takes less time and by what fraction? Solution: (LCM of 4 and 5 is 20, so will we convert each fraction into an equivalent fraction with denominator 20) Rahul takes less time, Question: 9 A piece of a wire 7/8 metres long broke into two pieces. One piece was 1/4 meter long. How long is the other piece? Solution: Length of the wire = 7/8 metres Length of one piece of wire = 1/4 metres Let the length of the second piece of wire be x m. Therefore, Length of the wire = length of one piece + length of the second piece Therefore, the length of the second piece is 5/8 metres Question: 10 Shikha and priya have bookshelves of the same size shikha’s shelf is 5/6 full of book and priya’s shelf is 2/5 full. Whose bookshelf is more full? By what fraction? Solution: Fraction of shikha’s filled bookshelf = 5/6 Fraction of Priya’s filled bookshelf = 2/5 Comparing 5/6 and 2/5, we get : LCM of 5 and 6 is 30, so will convert each fraction into an equivalent fraction with denominator 30. Shikha’s shelf is more full. Therefore, Question: 11 Ravish’s house is 9/10 Km from his school. He walked some distance and then took a bus for 1/2 Km. How far did he walk? Solution: Total distance between the house and the school = 9/10 Km Distance covered in the bus = 1/2 Km Distance covered by walking + distance covered in the bus = total distance between the house and the school Distance covered by walking = total distance between the house and the school – Distance covered in the bus Distance covered by walking: 9/10 Km – 1/2 Km LCM of 10 and 2 is 10, so we convert each fraction into an equivalent fraction with denominator 10 (HCF of numerator and denominator is 2)
Add:
i) 3/4 and 5/6
ii) 7/10 and 2/15
iii) 8/13 and 2/3
iv) 4/5 and 7/15
i) Given: 3/4 and 5/6
LCM of 4 and 6 is 12, so we will convert each fraction into an equivalent fraction with denominator 12.
ii) Given: 7/10 and 2/15
LCM of 10 and 15 is 30, so we will convert each fraction into an equivalent fraction with denominator 30.
iii) Given: 8/13 and 2/3
LCM of 13 and 3 is 39, so we will convert each fraction into an equivalent fraction with denominator 39.
iv) Given: 4/5 and 7/15
LCM of 5 and 15 is 1, so we will convert each fraction into an equivalent fraction with denominator 15.
Subtract:
i) Given: 2/7 and 19/21
LCM of 21 and 7 is 21, so we will convert each fraction into an equivalent fraction with denominator 21.
ii) Given: 21/25 and 18/20
LCM of 20 and 25 is 100, so we will convert each fraction into an equivalent fraction with denominator 100.
iii) Given: 2/1 and 7/16
LCM of 1 and 16 is 16, so we will convert each fraction into an equivalent fraction with denominator 16.
LCM of 5 and 15 is 15, so we will convert each fraction into an equivalent fraction with denominator 15.
Find the difference of:
i) 13/24 and 7/16
i) 5/18 and 4/15
i) 1/12 and 3/4
i) 2/3 and 6/7
i) Given: 13/24 and 7/16
ii) Given: 5/18 and 4/15
iii) Given: 3/4 and 1/12
iv) Given: 6/7 and 2/3
Subtract as indicated:
i) Given: 8/3 and 5/9
Simplify:
Replace * with a correct number:
Therefore, 7/8
Savita bought 2/5 m of ribbon and kavita 3/4 m of ribbon. What was the total length of the ribbon they bought?
Length of the ribbon bought by savita = 2/5 metres
Length of the ribbon bought by kavita = 3/4 metres
Total length of the ribbon bought by them:
Ravish takesminutes to walk across the school ground. Rahul takes 7/4 minutes to do the same. Who takes less time and by what fraction?
(LCM of 4 and 5 is 20, so will we convert each fraction into an equivalent fraction with denominator 20)
Rahul takes less time,
A piece of a wire 7/8 metres long broke into two pieces. One piece was 1/4 meter long. How long is the other piece?
Length of the wire = 7/8 metres
Length of one piece of wire = 1/4 metres
Let the length of the second piece of wire be x m.
Therefore, Length of the wire = length of one piece + length of the second piece
Therefore, the length of the second piece is 5/8 metres
Shikha and priya have bookshelves of the same size shikha’s shelf is 5/6 full of book and priya’s shelf is 2/5 full. Whose bookshelf is more full? By what fraction?
Fraction of shikha’s filled bookshelf = 5/6
Fraction of Priya’s filled bookshelf = 2/5
Comparing 5/6 and 2/5, we get :
LCM of 5 and 6 is 30, so will convert each fraction into an equivalent fraction with denominator 30.
Shikha’s shelf is more full.
Therefore,
Ravish’s house is 9/10 Km from his school. He walked some distance and then took a bus for 1/2 Km. How far did he walk?
Total distance between the house and the school = 9/10 Km
Distance covered in the bus = 1/2 Km
Distance covered by walking + distance covered in the bus = total distance between
the house and the school
Distance covered by walking = total distance between the house and the school – Distance
covered in the bus
Distance covered by walking:
9/10 Km – 1/2 Km
LCM of 10 and 2 is 10, so we convert each fraction into an equivalent fraction with denominator 10
(HCF of numerator and denominator is 2)
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Chapter 6: Fractions – Exercise 6.1...
Chapter 6: Fractions – Exercise 6.2...
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Chapter 6: Fractions – Exercise 6.4...