RD Sharma Solutions: Fractions (Exercise 6.9)

# Fractions (Exercise 6.9) RD Sharma Solutions | Mathematics (Maths) Class 6 PDF Download

``` Page 1

Exercise 6.9                                                                               page: 6.35
(i) 3/4 and 5/6
(ii) 7/10 and 2/15
(iii) 8/13 and 2/3
(iv) 4/5 and 7/15
Solution:

(i) 3/4 and 5/6
It can be written as
3/4 + 5/6
We know that the LCM of 4 and 6 is 12
In order to convert fraction into equivalent fraction having 12 as denominator
= [(3 × 3)/ (4 × 3)] + [(5 × 2)/ (6 × 2)]
On further calculation
= 9/12 + 10/ 12
We get
= (9 + 10)/ 12 = 19/12

(ii) 7/10 and 2/15
It can be written as
7/10 + 2/15
We know that the LCM of 10 and 15 is 30
In order to convert fraction into equivalent fraction having 30 as denominator
= [(7 × 3)/ (10 × 3)] + [(2 × 2)/ (15 × 2)]
On further calculation
= 21/30 + 4/ 30
We get
= (21 + 4)/ 30 = 25/30 = 5/6

(iii) 8/13 and 2/3
It can be written as
8/13 + 2/3
We know that the LCM of 13 and 3 is 39
In order to convert fraction into equivalent fraction having 39 as denominator
= [(8 × 3)/ (13 × 3)] + [(2 × 13)/ (3 × 13)]
On further calculation
= 24/39 + 26/39
We get
= (24 + 26)/ 39 = 50/39

(iv) 4/5 and 7/15
It can be written as
4/5 + 7/15
We know that the LCM of 5 and 15 is 1
In order to convert fraction into equivalent fraction having 15 as denominator
= [(4 × 3)/ (5 × 3)] + [(7 × 1)/ (15 × 1)]
On further calculation
= 12/15 + 7/ 15
Page 2

Exercise 6.9                                                                               page: 6.35
(i) 3/4 and 5/6
(ii) 7/10 and 2/15
(iii) 8/13 and 2/3
(iv) 4/5 and 7/15
Solution:

(i) 3/4 and 5/6
It can be written as
3/4 + 5/6
We know that the LCM of 4 and 6 is 12
In order to convert fraction into equivalent fraction having 12 as denominator
= [(3 × 3)/ (4 × 3)] + [(5 × 2)/ (6 × 2)]
On further calculation
= 9/12 + 10/ 12
We get
= (9 + 10)/ 12 = 19/12

(ii) 7/10 and 2/15
It can be written as
7/10 + 2/15
We know that the LCM of 10 and 15 is 30
In order to convert fraction into equivalent fraction having 30 as denominator
= [(7 × 3)/ (10 × 3)] + [(2 × 2)/ (15 × 2)]
On further calculation
= 21/30 + 4/ 30
We get
= (21 + 4)/ 30 = 25/30 = 5/6

(iii) 8/13 and 2/3
It can be written as
8/13 + 2/3
We know that the LCM of 13 and 3 is 39
In order to convert fraction into equivalent fraction having 39 as denominator
= [(8 × 3)/ (13 × 3)] + [(2 × 13)/ (3 × 13)]
On further calculation
= 24/39 + 26/39
We get
= (24 + 26)/ 39 = 50/39

(iv) 4/5 and 7/15
It can be written as
4/5 + 7/15
We know that the LCM of 5 and 15 is 1
In order to convert fraction into equivalent fraction having 15 as denominator
= [(4 × 3)/ (5 × 3)] + [(7 × 1)/ (15 × 1)]
On further calculation
= 12/15 + 7/ 15

We get
= (12 + 7)/ 15 = 19/15

2. Subtract:
(i) 2/7 from 19/21
(ii) 21/25 from 18/20
(iii) 7/16 from 2
(iv) 4/15 from 2 1/5
Solution:

(i) 2/7 from 19/21
It can be written as
19/21 – 2/7
We know that LCM of 21 and 7 is 21
In order to convert fraction into equivalent fraction having 21 as denominator
= [(19 × 1)/ (21 × 1)] - [(2 × 3)/ (7 × 3)]
On further calculation
= 19/21 - 6/21
We get
= (19 - 6)/21 = 13/21

(ii) 21/25 from 18/20
It can be written as
18/20 – 21/25
We know that LCM of 20 and 25 is 100
In order to convert fraction into equivalent fraction having 100 as denominator
= [(18 × 5)/ (20 × 5)] - [(21 × 4)/ (25 × 4)]
On further calculation
= 90/100 - 84/100
We get
= (90 - 84)/100 = 6/100 = 3/50

(iii) 7/16 from 2
It can be written as
2/1 – 7/16
We know that LCM of 1 and 16 is 16
In order to convert fraction into equivalent fraction having 16 as denominator
= [(16 × 2)/ (16 × 1)] - [(7 × 1)/ (16 × 1)]
On further calculation
= 32/16 - 7/16
We get
= (32 - 7)/16 = 25/16

(iv) 4/15 from 2 1/5
It can be written as
11/5 – 4/15
We know that LCM of 5 and 15 is 15
In order to convert fraction into equivalent fraction having 15 as denominator
= [(11 × 3)/ (5 × 3)] - [(4 × 1)/ (15 × 1)]
Page 3

Exercise 6.9                                                                               page: 6.35
(i) 3/4 and 5/6
(ii) 7/10 and 2/15
(iii) 8/13 and 2/3
(iv) 4/5 and 7/15
Solution:

(i) 3/4 and 5/6
It can be written as
3/4 + 5/6
We know that the LCM of 4 and 6 is 12
In order to convert fraction into equivalent fraction having 12 as denominator
= [(3 × 3)/ (4 × 3)] + [(5 × 2)/ (6 × 2)]
On further calculation
= 9/12 + 10/ 12
We get
= (9 + 10)/ 12 = 19/12

(ii) 7/10 and 2/15
It can be written as
7/10 + 2/15
We know that the LCM of 10 and 15 is 30
In order to convert fraction into equivalent fraction having 30 as denominator
= [(7 × 3)/ (10 × 3)] + [(2 × 2)/ (15 × 2)]
On further calculation
= 21/30 + 4/ 30
We get
= (21 + 4)/ 30 = 25/30 = 5/6

(iii) 8/13 and 2/3
It can be written as
8/13 + 2/3
We know that the LCM of 13 and 3 is 39
In order to convert fraction into equivalent fraction having 39 as denominator
= [(8 × 3)/ (13 × 3)] + [(2 × 13)/ (3 × 13)]
On further calculation
= 24/39 + 26/39
We get
= (24 + 26)/ 39 = 50/39

(iv) 4/5 and 7/15
It can be written as
4/5 + 7/15
We know that the LCM of 5 and 15 is 1
In order to convert fraction into equivalent fraction having 15 as denominator
= [(4 × 3)/ (5 × 3)] + [(7 × 1)/ (15 × 1)]
On further calculation
= 12/15 + 7/ 15

We get
= (12 + 7)/ 15 = 19/15

2. Subtract:
(i) 2/7 from 19/21
(ii) 21/25 from 18/20
(iii) 7/16 from 2
(iv) 4/15 from 2 1/5
Solution:

(i) 2/7 from 19/21
It can be written as
19/21 – 2/7
We know that LCM of 21 and 7 is 21
In order to convert fraction into equivalent fraction having 21 as denominator
= [(19 × 1)/ (21 × 1)] - [(2 × 3)/ (7 × 3)]
On further calculation
= 19/21 - 6/21
We get
= (19 - 6)/21 = 13/21

(ii) 21/25 from 18/20
It can be written as
18/20 – 21/25
We know that LCM of 20 and 25 is 100
In order to convert fraction into equivalent fraction having 100 as denominator
= [(18 × 5)/ (20 × 5)] - [(21 × 4)/ (25 × 4)]
On further calculation
= 90/100 - 84/100
We get
= (90 - 84)/100 = 6/100 = 3/50

(iii) 7/16 from 2
It can be written as
2/1 – 7/16
We know that LCM of 1 and 16 is 16
In order to convert fraction into equivalent fraction having 16 as denominator
= [(16 × 2)/ (16 × 1)] - [(7 × 1)/ (16 × 1)]
On further calculation
= 32/16 - 7/16
We get
= (32 - 7)/16 = 25/16

(iv) 4/15 from 2 1/5
It can be written as
11/5 – 4/15
We know that LCM of 5 and 15 is 15
In order to convert fraction into equivalent fraction having 15 as denominator
= [(11 × 3)/ (5 × 3)] - [(4 × 1)/ (15 × 1)]

On further calculation
= 33/15 - 4/15
We get
= (33 - 4)/15 = 29/15

3. Find the difference of:
(i) 13/24 and 7/16
(ii) 5/18 and 4/15
(iii) 1/12 and 3/4
(iv) 2/3 and 6/7
Solution:

(i) 13/24 and 7/16
It can be written as
13/24 – 7/16
We know that LCM of 24 and 16 is 48
In order to convert fraction into equivalent fraction having 48 as denominator
= [(13 × 2)/ (24 × 2)] - [(7 × 3)/ (16 × 3)]
On further calculation
= 26/48 - 21/48
We get
= (26 - 21)/48 = 5/48

(ii) 5/18 and 4/15
It can be written as
5/18 – 4/15
We know that LCM of 18 and 15 is 90
In order to convert fraction into equivalent fraction having 90 as denominator
= [(5 × 5)/ (18 × 5)] - [(4 × 6)/ (15 × 6)]
On further calculation
= 25/90 - 24/90
We get
= (25 - 24)/90 = 1/90

(iii) 1/12 and 3/4
It can be written as
3/4 – 1/12
We know that LCM of 4 and 12 is 12
In order to convert fraction into equivalent fraction having 12 as denominator
= [(3 × 3)/ (4 × 3)] - [(1 × 1)/ (12 × 1)]
On further calculation
= 9/12 - 1/12
We get
= (9 - 1)/12 = 8/12 = 2/3

(iv) 2/3 and 6/7
It can be written as
6/7 – 2/3
We know that LCM of 7 and 3 is 21
In order to convert fraction into equivalent fraction having 48 as denominator
Page 4

Exercise 6.9                                                                               page: 6.35
(i) 3/4 and 5/6
(ii) 7/10 and 2/15
(iii) 8/13 and 2/3
(iv) 4/5 and 7/15
Solution:

(i) 3/4 and 5/6
It can be written as
3/4 + 5/6
We know that the LCM of 4 and 6 is 12
In order to convert fraction into equivalent fraction having 12 as denominator
= [(3 × 3)/ (4 × 3)] + [(5 × 2)/ (6 × 2)]
On further calculation
= 9/12 + 10/ 12
We get
= (9 + 10)/ 12 = 19/12

(ii) 7/10 and 2/15
It can be written as
7/10 + 2/15
We know that the LCM of 10 and 15 is 30
In order to convert fraction into equivalent fraction having 30 as denominator
= [(7 × 3)/ (10 × 3)] + [(2 × 2)/ (15 × 2)]
On further calculation
= 21/30 + 4/ 30
We get
= (21 + 4)/ 30 = 25/30 = 5/6

(iii) 8/13 and 2/3
It can be written as
8/13 + 2/3
We know that the LCM of 13 and 3 is 39
In order to convert fraction into equivalent fraction having 39 as denominator
= [(8 × 3)/ (13 × 3)] + [(2 × 13)/ (3 × 13)]
On further calculation
= 24/39 + 26/39
We get
= (24 + 26)/ 39 = 50/39

(iv) 4/5 and 7/15
It can be written as
4/5 + 7/15
We know that the LCM of 5 and 15 is 1
In order to convert fraction into equivalent fraction having 15 as denominator
= [(4 × 3)/ (5 × 3)] + [(7 × 1)/ (15 × 1)]
On further calculation
= 12/15 + 7/ 15

We get
= (12 + 7)/ 15 = 19/15

2. Subtract:
(i) 2/7 from 19/21
(ii) 21/25 from 18/20
(iii) 7/16 from 2
(iv) 4/15 from 2 1/5
Solution:

(i) 2/7 from 19/21
It can be written as
19/21 – 2/7
We know that LCM of 21 and 7 is 21
In order to convert fraction into equivalent fraction having 21 as denominator
= [(19 × 1)/ (21 × 1)] - [(2 × 3)/ (7 × 3)]
On further calculation
= 19/21 - 6/21
We get
= (19 - 6)/21 = 13/21

(ii) 21/25 from 18/20
It can be written as
18/20 – 21/25
We know that LCM of 20 and 25 is 100
In order to convert fraction into equivalent fraction having 100 as denominator
= [(18 × 5)/ (20 × 5)] - [(21 × 4)/ (25 × 4)]
On further calculation
= 90/100 - 84/100
We get
= (90 - 84)/100 = 6/100 = 3/50

(iii) 7/16 from 2
It can be written as
2/1 – 7/16
We know that LCM of 1 and 16 is 16
In order to convert fraction into equivalent fraction having 16 as denominator
= [(16 × 2)/ (16 × 1)] - [(7 × 1)/ (16 × 1)]
On further calculation
= 32/16 - 7/16
We get
= (32 - 7)/16 = 25/16

(iv) 4/15 from 2 1/5
It can be written as
11/5 – 4/15
We know that LCM of 5 and 15 is 15
In order to convert fraction into equivalent fraction having 15 as denominator
= [(11 × 3)/ (5 × 3)] - [(4 × 1)/ (15 × 1)]

On further calculation
= 33/15 - 4/15
We get
= (33 - 4)/15 = 29/15

3. Find the difference of:
(i) 13/24 and 7/16
(ii) 5/18 and 4/15
(iii) 1/12 and 3/4
(iv) 2/3 and 6/7
Solution:

(i) 13/24 and 7/16
It can be written as
13/24 – 7/16
We know that LCM of 24 and 16 is 48
In order to convert fraction into equivalent fraction having 48 as denominator
= [(13 × 2)/ (24 × 2)] - [(7 × 3)/ (16 × 3)]
On further calculation
= 26/48 - 21/48
We get
= (26 - 21)/48 = 5/48

(ii) 5/18 and 4/15
It can be written as
5/18 – 4/15
We know that LCM of 18 and 15 is 90
In order to convert fraction into equivalent fraction having 90 as denominator
= [(5 × 5)/ (18 × 5)] - [(4 × 6)/ (15 × 6)]
On further calculation
= 25/90 - 24/90
We get
= (25 - 24)/90 = 1/90

(iii) 1/12 and 3/4
It can be written as
3/4 – 1/12
We know that LCM of 4 and 12 is 12
In order to convert fraction into equivalent fraction having 12 as denominator
= [(3 × 3)/ (4 × 3)] - [(1 × 1)/ (12 × 1)]
On further calculation
= 9/12 - 1/12
We get
= (9 - 1)/12 = 8/12 = 2/3

(iv) 2/3 and 6/7
It can be written as
6/7 – 2/3
We know that LCM of 7 and 3 is 21
In order to convert fraction into equivalent fraction having 48 as denominator

= [(6 × 3)/ (7 × 3)] - [(2 × 7)/ (3 × 7)]
On further calculation
= 18/21 - 14/21
We get
= (18 - 14)/21 = 4/21

4. Subtract as indicated:
(i) 8/3 – 5/9
(ii) 4 2/5 – 2 1/5
(iii) 5 6/7 – 2 2/3
(iv) 4 3/4 – 2 1/6
Solution:

(i) 8/3 – 5/9
It can be written as
8/3 – 5/9
We know that LCM of 3 and 9 is 9
In order to convert fraction into equivalent fraction having 9 as denominator
= [(8 × 3)/ (3 × 3)] - [(5 × 1)/ (9 × 1)]
On further calculation
= 24/9 - 5/9
We get
= (24 - 5)/9 = 19/9

(ii) 4 2/5 – 2 1/5
It can be written as
22/5 – 11/5
We get
= (22 - 11)/5 = 11/5

(iii) 5 6/7 – 2 2/3
It can be written as
41/7 – 8/3
We know that LCM of 7 and 3 is 21
In order to convert fraction into equivalent fraction having 21 as denominator
= [(41 × 3)/ (7 × 3)] - [(8 × 7)/ (3 × 7)]
On further calculation
= 123/21 - 56/21
We get
= (123 - 56)/21 = 67/21

(iv) 4 3/4 – 2 1/6
It can be written as
19/4 – 13/6
We know that LCM of 4 and 6 is 12
In order to convert fraction into equivalent fraction having 12 as denominator
= [(19 × 3)/ (4 × 3)] - [(13 × 2)/ (6 × 2)]
Page 5

Exercise 6.9                                                                               page: 6.35
(i) 3/4 and 5/6
(ii) 7/10 and 2/15
(iii) 8/13 and 2/3
(iv) 4/5 and 7/15
Solution:

(i) 3/4 and 5/6
It can be written as
3/4 + 5/6
We know that the LCM of 4 and 6 is 12
In order to convert fraction into equivalent fraction having 12 as denominator
= [(3 × 3)/ (4 × 3)] + [(5 × 2)/ (6 × 2)]
On further calculation
= 9/12 + 10/ 12
We get
= (9 + 10)/ 12 = 19/12

(ii) 7/10 and 2/15
It can be written as
7/10 + 2/15
We know that the LCM of 10 and 15 is 30
In order to convert fraction into equivalent fraction having 30 as denominator
= [(7 × 3)/ (10 × 3)] + [(2 × 2)/ (15 × 2)]
On further calculation
= 21/30 + 4/ 30
We get
= (21 + 4)/ 30 = 25/30 = 5/6

(iii) 8/13 and 2/3
It can be written as
8/13 + 2/3
We know that the LCM of 13 and 3 is 39
In order to convert fraction into equivalent fraction having 39 as denominator
= [(8 × 3)/ (13 × 3)] + [(2 × 13)/ (3 × 13)]
On further calculation
= 24/39 + 26/39
We get
= (24 + 26)/ 39 = 50/39

(iv) 4/5 and 7/15
It can be written as
4/5 + 7/15
We know that the LCM of 5 and 15 is 1
In order to convert fraction into equivalent fraction having 15 as denominator
= [(4 × 3)/ (5 × 3)] + [(7 × 1)/ (15 × 1)]
On further calculation
= 12/15 + 7/ 15

We get
= (12 + 7)/ 15 = 19/15

2. Subtract:
(i) 2/7 from 19/21
(ii) 21/25 from 18/20
(iii) 7/16 from 2
(iv) 4/15 from 2 1/5
Solution:

(i) 2/7 from 19/21
It can be written as
19/21 – 2/7
We know that LCM of 21 and 7 is 21
In order to convert fraction into equivalent fraction having 21 as denominator
= [(19 × 1)/ (21 × 1)] - [(2 × 3)/ (7 × 3)]
On further calculation
= 19/21 - 6/21
We get
= (19 - 6)/21 = 13/21

(ii) 21/25 from 18/20
It can be written as
18/20 – 21/25
We know that LCM of 20 and 25 is 100
In order to convert fraction into equivalent fraction having 100 as denominator
= [(18 × 5)/ (20 × 5)] - [(21 × 4)/ (25 × 4)]
On further calculation
= 90/100 - 84/100
We get
= (90 - 84)/100 = 6/100 = 3/50

(iii) 7/16 from 2
It can be written as
2/1 – 7/16
We know that LCM of 1 and 16 is 16
In order to convert fraction into equivalent fraction having 16 as denominator
= [(16 × 2)/ (16 × 1)] - [(7 × 1)/ (16 × 1)]
On further calculation
= 32/16 - 7/16
We get
= (32 - 7)/16 = 25/16

(iv) 4/15 from 2 1/5
It can be written as
11/5 – 4/15
We know that LCM of 5 and 15 is 15
In order to convert fraction into equivalent fraction having 15 as denominator
= [(11 × 3)/ (5 × 3)] - [(4 × 1)/ (15 × 1)]

On further calculation
= 33/15 - 4/15
We get
= (33 - 4)/15 = 29/15

3. Find the difference of:
(i) 13/24 and 7/16
(ii) 5/18 and 4/15
(iii) 1/12 and 3/4
(iv) 2/3 and 6/7
Solution:

(i) 13/24 and 7/16
It can be written as
13/24 – 7/16
We know that LCM of 24 and 16 is 48
In order to convert fraction into equivalent fraction having 48 as denominator
= [(13 × 2)/ (24 × 2)] - [(7 × 3)/ (16 × 3)]
On further calculation
= 26/48 - 21/48
We get
= (26 - 21)/48 = 5/48

(ii) 5/18 and 4/15
It can be written as
5/18 – 4/15
We know that LCM of 18 and 15 is 90
In order to convert fraction into equivalent fraction having 90 as denominator
= [(5 × 5)/ (18 × 5)] - [(4 × 6)/ (15 × 6)]
On further calculation
= 25/90 - 24/90
We get
= (25 - 24)/90 = 1/90

(iii) 1/12 and 3/4
It can be written as
3/4 – 1/12
We know that LCM of 4 and 12 is 12
In order to convert fraction into equivalent fraction having 12 as denominator
= [(3 × 3)/ (4 × 3)] - [(1 × 1)/ (12 × 1)]
On further calculation
= 9/12 - 1/12
We get
= (9 - 1)/12 = 8/12 = 2/3

(iv) 2/3 and 6/7
It can be written as
6/7 – 2/3
We know that LCM of 7 and 3 is 21
In order to convert fraction into equivalent fraction having 48 as denominator

= [(6 × 3)/ (7 × 3)] - [(2 × 7)/ (3 × 7)]
On further calculation
= 18/21 - 14/21
We get
= (18 - 14)/21 = 4/21

4. Subtract as indicated:
(i) 8/3 – 5/9
(ii) 4 2/5 – 2 1/5
(iii) 5 6/7 – 2 2/3
(iv) 4 3/4 – 2 1/6
Solution:

(i) 8/3 – 5/9
It can be written as
8/3 – 5/9
We know that LCM of 3 and 9 is 9
In order to convert fraction into equivalent fraction having 9 as denominator
= [(8 × 3)/ (3 × 3)] - [(5 × 1)/ (9 × 1)]
On further calculation
= 24/9 - 5/9
We get
= (24 - 5)/9 = 19/9

(ii) 4 2/5 – 2 1/5
It can be written as
22/5 – 11/5
We get
= (22 - 11)/5 = 11/5

(iii) 5 6/7 – 2 2/3
It can be written as
41/7 – 8/3
We know that LCM of 7 and 3 is 21
In order to convert fraction into equivalent fraction having 21 as denominator
= [(41 × 3)/ (7 × 3)] - [(8 × 7)/ (3 × 7)]
On further calculation
= 123/21 - 56/21
We get
= (123 - 56)/21 = 67/21

(iv) 4 3/4 – 2 1/6
It can be written as
19/4 – 13/6
We know that LCM of 4 and 6 is 12
In order to convert fraction into equivalent fraction having 12 as denominator
= [(19 × 3)/ (4 × 3)] - [(13 × 2)/ (6 × 2)]

On further calculation
= 57/12 - 26/12
We get
= (57 - 26)/12 = 31/12

5. Simplify:
(i) 2/3 + 3/4 + 1/2
(ii) 5/8 + 2/5 + 3/4
(iii) 3/10 + 7/15 + 3/5
(iv) 3/4 + 7/16 + 5/8
(v) 4 2/3 + 3 1/4 + 7 1/2
(vi) 7 1/3 + 3 2/3 + 5 1/6
(vii) 7 + 7/4 + 5 1/6
(viii) 5/6 + 3 + 3/4
(ix) 7/18 + 5/6 + 1 1/12
Solution:

(i) 2/3 + 3/4 + 1/2
We know that the LCM of 3, 4 and 2 is 12
In order to convert fraction into equivalent fraction having 12 as denominator
= [(2 × 4)/ (3 × 4)] + [(3 × 3)/ (4 × 3)] + [(1 × 6)/ (2 × 6)]
On further calculation
= 8/12+ 9/12 + 6/12
We get
= (8 + 9 + 6)/ 12 = 23/12

(ii) 5/8 + 2/5 + 3/4
We know that the LCM of 8, 5 and 4 is 40
In order to convert fraction into equivalent fraction having 40 as denominator
= [(5 × 5)/ (8 × 5)] + [(2 × 8)/ (5 × 8)] + [(3 × 10)/ (4 × 10)]
On further calculation
= 25/40 + 16/40 + 30/40
We get
= (25 + 16 + 30)/ 40 = 71/40

(iii) 3/10 + 7/15 + 3/5
We know that the LCM of 10, 15 and 5 is 30
In order to convert fraction into equivalent fraction having 30 as denominator
= [(3 × 3)/ (10 × 3)] + [(7 × 2)/ (15 × 2)] + [(3 × 6)/ (5 × 6)]
On further calculation
= 9/30+ 14/30 + 18/30
We get
= (9 + 14 + 18)/ 30 = 41/30

(iv) 3/4 + 7/16 + 5/8
We know that the LCM of 4, 16 and 8 is 16
In order to convert fraction into equivalent fraction having 16 as denominator
= [(3 × 4)/ (4 × 4)] + [(7 × 1)/ (16 × 1)] + [(5 × 2)/ (8 × 2)]
```

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