Worksheet Solutions: Fractions

Q1: Divide each collection into two equal parts by dotted lines:

(i) 

(ii) 

(iii) 

Ans:


Q2: In each of the following write the fraction representing the shaded portion:

(i) 

Ans: = 1/3

(ii)      
Ans: = 1/4

(iii) 
Ans: = 1/3

Q3: Write the fraction whose.
(i) Numerator is 7 and denominator is 15.
Ans:
 7/15

(ii) Numerator is 22 and denominator is 35.
Ans: 
22/35

Q4: Divide each collection into a suitable number of equal parts and fill in the blanks:

(i) 

1/2 of 8 = ______.

Ans: 4

(ii) 

1/8 of 16 = ______.

Ans: 2

(iii) 

5/6 of 18 = ______.
Ans: 
15

Q5: Draw a collection of objects. Divide the collection into suitable number of equal parts and find

(i) 1/3 of 9

Ans:

= 3

(ii) 3/7 of 14
Ans:

= 6

(iii) 4/9 of 18
Ans:

= 8

Q6: Write the next three equivalent fractions of each of the following

(i) 1/4
Ans:
2/8, 4/16, 8/32

(ii) 2/3
Ans: 4/6, 8/12, 16/24

(iii) 5/9
Ans:
 10/18, 20/36, 40/72

(iv) 4/7
Ans:
 8/14, 16/28, 32/56

Q7: Fill in the missing numerators to make the statement true:
(i) 

Ans: 15

(ii) 

Ans: 5

(iii) 
Ans: 5

Q8: Find an equivalent fraction of 3/4 with:
(i) Numerator 15
Ans:
 Equivalent fraction of 3/4 with numerator 15: (3/4) × (5/5) = 15/20.

(ii) Denominator 48
Ans: 
Equivalent fraction of 3/4 with denominator 48: (3/4) x (12/12) = 36/48.

(iii) denominator 24
Ans:
 Equivalent fraction of 3/4 with denominator 24: (3/4) × (6/6) = 18/24.

Q9: Fill in the missing denominators to make the statement true:
(i) 

Ans: 21

(ii) 
Ans: 9

(iii) 

Ans: 40

Q10: Check whether the given fractions are equivalent:

(i) 3/15, 1/5

Ans: 3/15 in the simplest form is 1/5, thus equivalent.

(ii) 2/11, 6/21
Ans: 6/21 in the simplest form is 2/7, thus not equivalent.

(iii) 4/9, 8/18
Ans: 8/18 in the simplest form is 4/9, thus equivalent.

Q11: State whether the fraction is in its lowest terms or not:
(i) 12/20 
Ans: 
NO
The simplest form of 12/20 is 3/5.

(ii) 4/6
Ans: NO
The simplest form of 4/6 is 2/3.

(iii) 80/81
Ans: 
YES
The simplest form of 80/81 is 80/81 itself.

Q12: Reduce to the lowest terms: 
(i) 21/28
Ans: The simplest form of 21/28 is 3/4.

(ii) 45/60
Ans: The simplest form of 45/60 is 3/4.

(iii) 36/54
Ans: The simplest form of 36/54 is 2/3.

Q13: Encircle the fraction which is in its lowest terms:
(i) 

(ii) 

Ans:

Q14: Fill in the blanks by putting > or < in each of the following to make the statement true:

(i) 

Ans: >

(ii) Ans: <

(iii) Ans: >

Q15: Which is smaller in each of the following pairs of fractions?
(i) 3/16, 21/32
Ans: We need to make the denominator equal first,
3/16 x 2/2 = 6/32
6/32 < 21/32

(ii) 18/25, 2/5
Ans:
 We need to make the denominator equal first,
2/5 x 5/5 = 10/25
18/25 > 10/25

(iii) 8/21, 7/20
Ans: We need to make the denominator equal first,
LCM = 420
8/21 x 20/20 = 160/420
7/20 x 21/21 = 147/420

Q16: Find the sum:
(i) 1/8 + 2/8 + 3/8
Ans: 
6/8

(ii) 1/13 + 3/13 + 8/13
Ans: 12/13

(iii) 9/35 + 2/35 + 11/35
Ans: 22/35

Q17: Write the fractions whose numerator is 6 and denominator is 19.
Ans: 
6/19

Q18: ______ = ______.
Ans: (1+2+4)/7 = 1.