Fractions Class 6 Worksheet Maths Chapter 7

Q.1. Write the fraction representing the shaded portion. 

(i)

(ii)

Ans. 

(i) Total number of boxes = 12 
Total number to shaded portion = 7

Therefore, fraction representing the shaded portion = 712 

(ii) Total parts = 4
Total number to shaded parts = 3

Therefore, fraction representing the shaded portion = 34

Q.2. Colour the part according to the given fraction :

(i)

(ii)

Ans. 

(i)

(ii)

Q.3. Which of the following represents  ?

(i) Only figure (a)
 (ii) Only figure (b)
 (iii) Both figures (a) and (b)
 (iv) Neither figure (a) nor figure (b)

Ans. (i) Only figure (a) as other figure doesn't divide the triangle equally. 

Q.4. Write natural numbers from 1 to 15 :________________________
 (i) What fraction of them are prime numbers?
 (ii) What fraction of them are composite numbers?
 Ans. The natural numbers from 1 to 15 are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

(i) The prime numbers are: 2, 3, 5, 7, 11, 13.
So, there are 6 prime numbers.

=  615   =  25

(ii) The composite numbers are:4, 6, 8, 9, 10, 12, 14, 15.
So, there are 8 composite numbers.

= 815

Q.5. Identify the following fractions :
(i) 6 hours of a day.
(ii) 750 gms of a kilogram.
Ans. 

(i)A day has 24 hours. 
Fraction = 624 = 14

(ii) A kilogram is equal to 1000 grams.
Fraction = 7501000 = 34

Q.6. Fill the following blanks with <, > or = 

(i) 12  ______   15

(ii) 33    ______    36

(iii) 14  ______   28

Ans. (i) >

(ii) >

(iii) =

Q.7. Put the following set of fractions in descending order :
 (i) 15, 35, 135, 95, 125

(ii) 37, 311, 32, 35, 310

Ans. 

(i) Since the denominators are the same we will compare the numerators, then the order becomes :

 135 > 125 > 95 > 35 > 15

(ii) The smaller the denominator, the larger the fraction:

 32 > 35 > 37 > 310 > 311

Q.8. Represent 58 and 38on the number line.

Ans. 

Q.9. Rita has a pizza with 8 slices. She ate 3 pieces out of it. Sita eats of the same pizza. 
 Who eats more and by how much?

Ans. Rita eats more pizza than Sita.
Rita eats 38  -  28  =  18  more pizza than Sita.

Q.10. Is it true or false for the following? If not then mention the correct options (<, > or =) 

(i) 14 = 1

(ii) 55 = 1

(iii) 06 < 1

(iv) 78 < 1

Ans. (i) False, <(ii) True

(iii) False, <(iv) True

Q.11. Find the equivalent fraction of with

(i) Numerator 27
(ii) Denominator 25

Ans. 

(i)We need to find a number to multiply 3 by to get 27.
So, $3\times 9=273\; \backslash times\; 9\; =\; 27$
Now, we multiply the denominator by the same number, 9, to maintain the equality of the fraction:

(ii) We need to find a number to multiply 5 by to get 25.
So, $5\times 5=25$
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Q.12. Reduce to the simplest form : 

(i)

(ii)

(iii)  

Ans. 

(i) 

(ii) 

(iii) 

Q.13. Match the following :

Ans. (i) ↔ (b)
(ii) ↔ (d)
(iii) ↔ (a)
(iv) ↔ (c)

Sol: Now we can match the pairs:

Q.14. Complete the addition subtraction box.

Ans. 

Q.15. Fill in the boxes :

(i)

(ii)

(iii)

Ans. 

(i)

(ii)

(iii)