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**Q 1. Add :** i) ** and ** ii) ** and ** iii) ** and ** iv) ** and ****sol:** i) Given : and LCM of 4 and 6 is 12 , so we will convert each fraction into an equivalent fraction with denominator 12.

ii) Given : and LCM of 10 and 15 is 30 , so we will convert each fraction into an equivalent fraction with denominator 30.

iii) Given : and LCM of 13 and 3 is 39 , so we will convert each fraction into an equivalent fraction with denominator 39.

iv) Given : and LCM of 5 and 15 is 15 , so we will convert each fraction into an equivalent fraction with denominator 15.

**Q 2. Subtract :** i) ** from ** ii) ** from ** iii) ** from ** iv) ** from ** **sol:** i) Given : and LCM of 21 and 7 is 21, so we will convert each fraction into an equivalent fraction with denominator 21.

ii) Given : and LCM of 20 and 25 is 100 , so we will convert each fraction into an equivalent fraction with denominator 100.

iii) Given : and LCM of 1 and 16 is 16 , so we will convert each fraction into an equivalent fraction with denominator 16.

iv) Given : and 4 LCM of 5 and 15 is 15 , so we will convert each fraction into an equivalent fraction with denominator 15.

**Q 3. Find the difference of :** i) ** and **** **i) ** and **** **i) ** and **** **i) ** and ****sol:** i) Given : and ( because LCM of 24 and 16 is 48 )

ii) Given : and ( because LCM of 18 and 15 is 90 ) =

iii) Given : and ( because LCM of 4 and 12 is 12 )

iv) Given : and ( because LCM of 7 and 3 is 21 )

**Q 4. Subtract as indicated :** i) ii) iii) iv) **sol: **i) Given : and ( because LCM of 3 and 9 is 9 ) =

ii) Given : and

iii) Given : and = ( because LCM of 7 and 3 is 21 )

iv) Given : and ( because LCM of 4 and 6 is 12 ) **Q 5. simplify :** **i) **** ii) **** iii) **** iv) **** v) ** **vi) **** vii) **** viii) **** ix) ****sol:**

i) given : ( because LCM of 3, 4 and 2 is 12 )

ii) given : ( because LCM of 8, 5 and 4 is 40 )

iii) given : ( because LCM of 8, 5 and 4 is 40 )

iv) given : ( because LCM of 4, 16 and 8 is 16 )

v) given : ( because LCM of 3, 4 and 2 is 12 ) =

vi) given :( because LCM of 3, 4 and 6 is 12 ) ( HCF of numerator and denominator is 12 )

vii) given : ( because LCM of 1, 4 and 6 is 12 ) =

viii) given : ( because LCM of 6, 1 and 4 is 12 ) =

ix) given :

**Q 6. Replace * with a correct number :** **i)** **ii)** **iii) ****sol:** i) Therefore,

ii)

iii) ( because LCM of 2 and 6 is 6 )

**Q 7. Savita bought **** m of ribbon and kavita **** m of ribbon. What was the total length of the ribbon they bought ?** **Sol: **length of the ribbon bought by savita = metres Length of the ribbon bought by kavita = metres

Total length of the ribbon bought by them: metres + metres metres + metres ( because LCM of 5 and 4 is 20 )

= metres + metres = metres = metres

**Q 8. Ravish takes **** minutes to walk across the school ground. Rahul takes****minutes to do the same. Who takes less time and by what fraction ?** **Sol: **Time taken by ravish = = minutes

Time taken by rahul = minutes Comparing minutes and minutes, we get : minutes , minutes ( LCM of 4 and 5 is 20, so will we convert each fraction into an equivalent fraction with denominator 20 )

Rahul takes less time , i.e, minutes.

**Q 9. A piece of a wire **** metres long broke into two pieces. One piece was **** meter long. How long is the other piece ? Ans: **Length of the wire = metres Length of one piece of wire = 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 metres = metres + x X = metres - metres X

= metres - metres = metres - metres = metres X = metres

Therefore, the length of the second piece is metres

**Q 10. Shikha and priya have bookshelves of the same size shikhaâ€™s shelf is **** full of book and priyaâ€™s shelf is ****full. Whose bookshelf is more full ? By what fraction ?** **Sol:** Fraction of shikhaâ€™s filled bookshelf = Fraction of Priyaâ€™s filled bookshelf = Comparing and , we get :

LCM of 5 and 6 is 30, so will convert each fraction into an equivalent fraction with denominator 30. = metres, metres Shikhaâ€™s shelf is more full.

Therefore,

**Q 11. Ravishâ€™s house is ****Km from his school. He walked some distance and then took a bus for **** Km. How far did he walk?****Sol:** Total distance between the house and the school = Km Distance covered in the bus = 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 â€“ Distance covered in the bus Distance covered by walking:Km - Km

LCM of 10 and 2 is 10, so we convert each fraction into an equivalent fraction with denominator ( HCF of numerator and denominator is 2 )