Exercise 1.1
1. Fill in the blanks
i) 7 ¾ + 6 1/2 =
ii) The sum of a whole number and a proper fraction
is called
iii) 5 1/3 − 3 1/2 =
iv) 8 ÷ 1/2 =
v) The number which has its own reciprocal is
2. Say True or False
i) 3 1/2 can be written as 3 + 1/2.
ii) The sum of any two proper fractions
is always an improper fraction.
iii) The mixed fraction of 13/4 is
3 1/4.
iv) The reciprocal of an improper fraction is always a proper fraction.
v) 3 1/4 × 3 1/4 = 9 1/16
3.
Answer the following:
i)
Find the sum of 1/7 and 3/9 .
ii)
What is the total of 3 1/3 and 4 1/6 ?
iii)
Simplify : 1 3/5 + 5 4/7.
iv)
Find the difference between 8/9 and 2/7 .
v)
Subtract 1 3/5 from 2 1/3 .
vi) Simplify : 7 2/7 – 3 4/21
i) Find the sum of 1/7 and 3/9.
1/7 + 3/9
[9 + 21] / [7 × 9] = 30/63 = 10/21
1/7 + 3/9 = 10/21
ii) What is the total of 3 1/3 and 4 1/6 ?
3 1/3 + 4 1/6
10/3 + 25/6
[20 + 25] / 6 = 45/6 = 7 (3/6)
= 7 1/2
= 3 1/3 + 4 1/6 = 7 1/2
iii) Simplify: 1 3/5
+ 5 4/7
8/5 + 39/7
[56+195] / [5 × 7] = 251/35
= 7 6/35
13/5 + 5 4/7 = 7 6/35
iv) Find the difference between 8/9 and 2/7.
8/9 – 2/7
[56 – 18] / [9 × 7] = 38/63
8/9 – 2/7 = 38/63
v) Subtract 1 3/5 from 2
1/3
2 1/3 − 1 3/5
7/3 − 8/5
[35 – 24] / [3 × 5] = 11/15
vi) Simplify: 7 2/7 – 3 4/21.
51/7 – 67/21
[153 – 67] / 21 = 86/21 = 4 (2/21)
7 (2/7) – 3 (4/21) = 4 (2/21)
4.
Convert mixed fractions into improper fractions and vice versa:
i)
3 7/18 ii) 99/7 iii) 47/6 iv) 12 1/9
5.
Multiply the following:
i)
2/3 × 6 ii) 8 1/3 ×5 iii) 3/8 × 4/5 iv)
3 5/7 × 1 1/13
6.
Divide the following:
i) 3/7 ÷ 4 ii) 4/3 ÷ 5/9 iii) 4 1/5 ÷ 3 3/4 iv) 9 2/3 ÷ 1 2/3
7. Gowri purchased 3 1/2 kg of tomatoes, 3/4 kg of
brinjal and 1 1/4 kg of onion. What is
the total weight of the vegetables she bought?
Weight of tomatoes = 3 ½ kg
Weight of brinjal = ¾ kg
Weight of Onion = 1 ¼ kg.
Total weight of vegetables Gowri bought
= (3 ½ + ¾ + 1 ¼ ) kg
= ( 7/2 + 3/4 + 1 1/4 ) kg
= ( [14 + 3 + 5] / 4 ) kg 22/4 kg = 5 2/4 kg
= 5 1/2 kg
Total weight of vegetables Gowri bought = 5 ½ kg.
8.
An oil tin contains 3 3/4 litres of oil of which 2 ½ litres of oil is used. How much oil is left over?
Capacity of oil in the oil tin = 3 ¾ litres
Capacity of oil used = 2 ½ litres
Capacity of oil left over = (3 ¾ − 2 ½ ) litres
= 15/4 – 5/2 = [15 – 10] / 4 =
5/4 litre
= 1 ¼ litre
Capacity of oil leftover = 1 ¼ litre
9. Nilavan can walk 4 1/2 km in an hour. How much distance will he cover in 3 1/2 hours?
Distance covered by Nilavan in an hour = 4 ½ km
Distance covered in 3 ½
hours = 4 ½ × 3 ½ km
= 9/2 × 7/2 = 63/4 = 15 3/4 km
Distance covered in 3 ½
hours = 15 ¾ km
10. Ravi bought a curtain
of length 15 3/4 m. If he cut the curtain into small pieces each of length 2
1/4 m, then how many small curtains will he get?
Total length of curtain = 15 3/4 m
Length of smal curtain
cut off = 2 1/4 m
Number of small.curtains he will get = Total length / Length of
1 small curtain
= 15 ¾ / 2 ¼
= 15 ¾ ÷ 2 ¼
= 63/4 ÷ 9/4
= (63/4) × (4/9) = 7
Number of small.curtains he will get = 7.
Objective
Type Questions
11.
Which of the following statement is incorrect?
a) 1/2 >
1/3
b) 7/8 > 6/7
c) 8/9 < 9/10
d) 10/11< 9/10
Answer: d) 10/11 > 9/10
12.
The difference between 3/7 and 2/9 is
a) 13/63
b) 1 /9
c) 1/7
d) 9/16
Answer: a) 13/63
13.
The reciprocal of 53/17 is
a) 53/17
b) 5 3/17
c) 17/53
d) 3 5/17
Answer: c) 17 / 53
14.
If 6/7 = Α/49, then the value of A is
a) 42
b) 36
c) 25
d) 48
Answer: a) 42
15.
Pugazh has been given four choices for his pocket money by his father. Which of
the choices should he take in order to get the maximum money?
a) 2/3 of ₹150
b) 3/5 of
₹150
c) 1/5 of
₹150
d) 1/5 of
₹150
Answer : c) 1/5 of ₹ 150
ANSWERS:
Exercise 1.1
1. i) 14 1/4 ii) Mixed Fraction iii) 1 5/6 iv) 16 v) 1
2. i) True ii) False
iii) True iv) True v) False
3. i) 10/21 ii) 7
½ iii) 7 6/35 iv) 38/63
v) 11/15 vi) 4 2/21
4. i) 61/18 ii) 14
1/7 iii) 7 5/6 iv) 109 /9
5. i) 4 ii) 41
2/3 iii) 3/10 iv) 4
6. i) 3/28
ii) 2 2/5 iii) 1 3/25 iv) 5 4/5
7. 5 1/2 kg
8. 1 1/4 l
9. 15 3/4 km
10. 7
11. d) 10/11 < 9/10
12. a) 13/63
13 c) 17/53
14. a) 42
15. c) 4/5 of ₹150
Related Topics
Privacy Policy, Terms and Conditions, DMCA Policy and Compliant
Copyright © 2018-2024 BrainKart.com; All Rights Reserved. Developed by Therithal info, Chennai.