Fractions (Exercise 2.2) RD Sharma Solutions | Mathematics (Maths) Class 7 PDF Download

Q.1. Multiply:

(i)

(ii)

(iii)

(iv)

Ans: 

(i)

=

⇒ 

(ii)

=

⇒

(iii)

⇒

(iv)

⇒

Q.2. Find the product:

(i)

(ii)

(iii)

(iv)

Ans: 

(i)

 =

⇒ 

(ii)

⇒ 

(iii)

⇒ 

(iv)

⇒

Q.3. Simplify:

(i)

(ii)

(iii)

Ans: 

(i)

 ⇔ 

⇒

(ii)

 ⇔

⇒

(iii)

 ⇔ 

⇔

⇒

Q.4. Find:

(i)

(ii)

(iii)

Ans: 

(i)

=

=

=

(ii)

=

=

=

(iii)= 

=

Q.5. Which is greater?

Ans: 

convert 2/7 to its equivalent fraction with denominator as 14

we know 6 > 4

⇒ 

⇒ 

Q.6. Find:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

Ans: 

(i)=

⇒ Rs 210

(ii)=

⇒ 60 metres

(iii)=

⇒ 18 litres

(iv)=

1 hour =60 minutes

(v)=

1 year =12 months

(vi)=

1 kg =1000 g

(vii)=

1 l =1000 ml

(viii)=

1 day =24 hours

(ix)=

1 week =7 days

Q.7. Shikha plants 5 saplings in a row in her garden. The distance between two adjacent saplings is 3/4m. Find the distance between the first and the last sapling.

Ans:

Distance between the first and second saplings = m

Distance between the first and third saplings =

Distance between the first and fourth saplings =

Distance between the first and fifth saplings  =

Q.8. Ravish readspart of a book in 1 hour. How much part of the book will he read inhours?

Ans: 

In 1 hour Ravish reads  of the book

Part of book Ravish will read in hours = Part read in 1 hour ×

Part of book Ravish will read in hours =

Q.9. Lipika reads a book forhours everyday. She reads the entire book in 6 days. How many hours in all were required by her to read the book?

Ans: 

In one day, Lipika reads for 134hours.

Total hours required == =

Q.10. Find the area of a rectangular park which ism long andm broad.

Ans: 

Length of rectangular park =

⇒Length of rectangular park =

Width of rectangular park =

⇒Width of rectangular park =

Area of rectangular park = Length of rectangular park × Width of rectangular park

Area of rectangular park == 775m²

Q.11. If milk is available at Rsper litre, find the cost oflitres of milk.

Ans: 

Cost of 1 litre milk = Rs. 

=

⇒Cost of 1 litre milk = Rs.

Cost oflitres milk = Cost of 1 litre milk ×

Cost oflitres milk == Rs.= Rs.

Q.12. Sharda can walkkm in one hour. How much distance will she cover in hours?

Ans: 

Distance covered by Sharda in 1 hour =

Distance covered by Sharda inhours = Distance covered in 1 hour ×

⇒ Distance covered by Sharda in hours ==20 km

Q.13. A sugar bag contains 30 kg of sugar. After consuming 2/3 of it, how much sugar is left in the bag?

Ans: Total amount of sugar in the bag = 30 kg

⇒Amount of sugar consumed = 20 kg

Sugar left in the bag = Total amount of sugar in the bag − Amount of sugar consumed Sugar left in the bag = 30−20 =10 kg

Q.14. Each side of a square is m long. Find its area.

Ans: 

Area of square = Side × Side

Area of square =

⇒Area of square =

Q.15. There are 45 students in a class and 3/5 of them are boys. How many girls are there in the class?

Ans: 

Therefore, 27 students are boys. 

Number of girls=Total number of students in the class − Number of boys

Number of girls = 45 − 27 = 18

Therefore, 18 students are girls.