Exercise 7.3 - Chapter 7 Fractions class 6 ncert solutions Maths - SaraNextGen [2024-2025]

Updated By SaraNextGen

On April 24, 2024, 11:35 AM

Question 1:

Write the fractions. Are all these fractions equivalent?

(a)

(b)

Answer:

(a) In the given circles, 1 out of 2, 2 out of 4, 3 out of 6,

and 4 out of 8 equal parts are shaded respectively. Therefore, these circles represent

Also, all these fractions are equivalent.

(b)

In the given rectangles, 4 out of 12, 3 out of 9, 2 out of 6, 1 out of 3, and 6 out of 15 equal parts (i.e., circles) are shaded respectively. Therefore, these rectangles represent

No, not all of these fractions are equivalent.

Question 2:

Write the fractions and pair up the equivalent fractions from each row.

Answer:

(a) Here, 1 part is shaded out of 2 equal parts (i.e., rectangle). Hence, this

figure represents a fraction .

(b) Here, 4 parts are shaded out of 6 equal parts (i.e., rectangle). Hence,

this figure represents a fraction

(c) Here, 3 parts are shaded out of 9 equal parts (i.e., squares). Hence, this

figure represents a fraction 

(d) Here, 2 parts are shaded out of 8 equal parts (i.e., rectangle). Hence,

this figure represents a fraction 

(e) Here, 3 parts are shaded out of 4 equal parts (i.e., squares). Hence, this

figure represents a fraction  .

(i) Here, 6 parts are shaded out of 18 equal parts (i.e., triangles). Hence, this figure represents a fraction 

(ii) Here, 4 parts are shaded out of 8 equal parts (i.e., rectangles). Hence, this figure represents a fraction 

(iii) Here, 12 parts are shaded out of 16 equal parts (i.e., squares). Hence, this figure represents a fraction 

(iv) Here, 8 parts are shaded out of 12 equal parts (i.e., rectangles). Hence, this figure represents a fraction 

(v) Here, 4 parts are shaded out of 16 equal parts (i.e., triangles). Hence, this figure represents a fraction 

Now, these figures can be matched correctly as

(a) (ii), (b) (iv), (c) (i), (d) (v), (e) (iii)

Question 3:

Replace &mnSq2 in each of the following by the correct number:

(a)   (b) 

(c)   (d) 

(e) 

Answer:

(a) 

Hence, &mnSq2 can be replaced by 28.

(b) 

Hence, &mnSq2 can be replaced by 16.

(c) 

Hence, &mnSq2 can be replaced by 12.

(d) 

Hence, &mnSq2 can be replaced by 20.

(e) 

Hence, &mnSq2 can be replaced by 3.

Question 4:

Find the equivalent fraction of  having

(a) denominator 20 (b) numerator 9

(c) denominator 30 (d) numerator 27

Answer:

(a) 

Hence, the required fraction is .

(b) 

Hence, the required fraction is .

(c) 

Hence, the required fraction is .

(d) 

Hence, the required fraction is .

Question 5:

Find the equivalent fraction of  with

(a) numerator 9 (b) denominator 4

Answer:

(a) 

Hence, the required fraction is .

(b) 

Hence, the required fraction is .

Question 6:

Check whether the given fractions are equivalent:

(a)   (b) 

(c) 

Answer:

(a) 

Clearly, both the fractions are equivalent.

(b) 

Clearly, both the fractions are not equivalent.

(c) 

Clearly, both the fractions are not equivalent.

Question 7:

Reduce the following fractions to simplest form:

(a)   (b) 

(c)   (d) 

(e) 

Answer:

(a) 

(b) 

(c) 

(d) 

(e) 

Question 8:

Ramesh had 20 pencils, Sheelu had 50 pencils and Jamaal had 80 pencils. After 4 months, Ramesh used up 10 pencils, Sheelu used up 25 pencils and Jamaal used up 40 pencils. What fraction did each use up? Check if each has used up an equal fraction of her/his pencils?

Answer:

Fraction used by Ramesh =

Fraction used by Sheelu =

Fraction used by Jamaal =

Yes, all of them used equal fraction of pencils i.e.,  .

Question 9:

Match the equivalent fractions and write two more for each.

(i)   (a)   (iv)   (d) 

(ii)   (b)   (v)   (e) 

(iii)   (c) 

Answer:

(i) 

Two more fractions are  .

(ii) 

Two more fractions are  .

(iii) 

Two more fractions are  .

(iv) 

Two more fractions are  .

(v) 

Two more fractions are  .

Now, these can be matched as

(i)   (d), (ii)   (e), (iii)   (a), (iv)   (c), (v)   (b)