CBSE Class 6th ( VI) Mathematics Chapter 7. Fractions: Exercise 7.3 Solutions

CBSE Class 6th ( VI) Mathematics Chapter 7. Fractions: Exercise 7.3 Solutions

1. Write the fractions. Are all these fractions equivalent?










Answer:

Yes, all these fractions are equivalent

No, all these fractions are not equivalent





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










Answer:

3.  Replace in each of the following by the correct number :
28
a.
=
7
510
b.
=
8
3
c.
=
520
4515
d.
=
60
18
e.
=
244

Answer:
28
a.
=
728
510
b.
=
816
312
c.
=
520
4515
d.
=
6020
183
e.
=
244

4. Find the equivalent fraction of
5

3
having
(a) denominator 20 (b) numerator 9
(c) denominator 30 (d) numerator 27

Answer:
312
a.
=
520
39
b.
=
515
318
c.
=
530
327
d.
=
545

5. Find the equivalent fraction of
36

48
with
(a) numerator 9 (b) denominator 4



Answer:
369
a.
=
4812
363
b.
=
484

6. Check whether the given fractions are equivalent :
(a)
5

9
30

54


(b)
3

10
12

50

(c)
7

13

5

11

Answer:
(a)
305

=
549
Given Fractions are equivalent.


(b)
123

=
5010
Given Fractions are equivalent

(c)
57

=
1113
Given Fractions are not equivalent


7. Reduce the following fractions to simplest form :
48
a.
60
150
b.
60
7
c.
28
84
d.
98
12
e.
52
Answer:
484
a.
=
605
1505
b.
=
602
76
c.
=
287
843
d.
=
9813
121
e.
=
524

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:

The numbers of pencil Ramesh had= 20
The numbers of pencil Sheelu had= 50
The numbers of pencil Jamaal had= 80
After 4 months ...
The numbers of pencil Ramesh had used= 10
The numbers of pencil Sheelu had used= 25
The numbers of pencil Jamaal had used= 40
The numbers of pencil Ramesh has now 20-10= 10
The numbers of pencil Sheelu has now 50-25= 25
The numbers of pencil Jamaal has now 80-40= 40
The fraction of pencil Ramesh used up
10

20
The fraction of pencil Sheelu used up
25

50
The fraction of pencil Sheelu used up
40

80

Dividing both numerator and
denominator by 10 we have
10

20
=
1

2
Dividing both numerator and
denominator by 25 we have
25

50
=
1

2
Dividing both numerator and
denominator by 40 we have
40

80
=
1

2
As all the fractions are equivalent, there for each has used up an equal fraction of her/his pencils

9. Match the equivalent fractions and write two more for each.
Answer;