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# Exercise 1.1

6th Maths : Term 3 Unit 1 : Fractions : Exercise 1.1 : Text Book Back Exercises Questions with Answers, Solution

Exercise 1.1

1. Fill in the blanks

i) 7 ¾ + 6 1/2 = 14 1/4

ii) The sum of a whole number and a proper fraction is called mixed fraction

iii) 5 1/3 − 3 1/2 = 1 5/6

iv) 8 ÷ 1/2 = 16

v) The number which has its own reciprocal is 1

2. Say True or False

i) 3 1/2 can be written as 3 + 1/2. [True]

ii) The sum of any two proper fractions is always an improper fraction. [ False]

iii) The mixed fraction of 13/4 is 3 1/4. [True]

iv) The reciprocal of an improper fraction is always a proper fraction. [True]

v) 3 1/4 × 3 1/4 = 9 1/16 [ False]

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

12. The difference between 3/7 and 2/9  is

a) 13/63

b) 1 /9

c) 1/7

d) 9/16

13. The reciprocal of 53/17 is

a) 53/17

b) 5 3/17

c) 17/53

d) 3 5/17

14. If 6/7 = Α/49, then the value of A is

a) 42

b) 36

c) 25

d) 48

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

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

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