RD Sharma Solutions: Fractions (Exercise 2.2)
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 reads
part of a book in 1 hour. How much part of the book will he read in
hours?
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 for
hours 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 is
m long and
m 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 Rs
per litre, find the cost of
litres of milk.
Ans:
Cost of 1 litre milk = Rs.
= 
⇒Cost of 1 litre milk = Rs.
Cost of
litres milk = Cost of 1 litre milk × 
Cost oflitres milk =
= Rs.
= Rs.
Q.12. Sharda can walk
km in one hour. How much distance will she cover in
hours?
Ans:
Distance covered by Sharda in 1 hour =
Distance covered by Sharda in
hours = 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.
FAQs on RD Sharma Solutions: Fractions (Exercise 2.2)
| 1. What is the concept of fractions? |  |
| 2. How do you add fractions with different denominators? | |
| 3. Can fractions be simplified? | |
| 4. How do you multiply fractions? | |
| 5. What is a mixed fraction? | |
