# Fractions Class 6 RS Aggarwal Exe-4C Goyal Brothers ICSE Maths Solutions

Fractions Class 6 RS Aggarwal Exe-4C Goyal Brothers Prakashan ICSE Foundation Maths Solutions. We provide step by step Solutions of ICSE Class-6 Foundation RS Aggarwal Mathematics of Goyal Brothers Prakashan. In this article you would lear about varios type of fraction and their interconversion. Visit official Website for detail information about ICSE Board Class-6 Mathematics.

## Fractions Class 6 RS Aggarwal Exe-4C Goyal Brothers ICSE Maths Solutions

 Board ICSE Publications Goyal brothers Prakashan Subject Maths Class 6th Ch-4 Fraction Writer RS Aggrawal Book Name Foundation Topics Solution of Exe-4C Academic Session 2023 – 2024

### Various Type of Fractions

Fractions Class 6 RS Aggarwal Exe-4C Goyal Brothers Prakashan ICSE Foundation Maths Solutions

The followings are the 7 kinds of fractions

• Proper Fraction.
• Improper Fraction.
• Mixed Fraction.
• Unlike Fractions.
• Like Fractions.
• Unit Fractions or Unique Fractions.
• Equivalent Fractions

Page- 69,70

#### Exercise- 4C

##### Que-1: Point out the proper and improper fractions from the following :

(i) 7/9                                      (ii) 16/11                               (iii) 18/25
(iv) 10/10                                (v) 37/23                               (vi) 21/8
(vii) 56/57                               (viii) 137/105                        (ix) 2/1                   (x) 100/101

Solution- (i) proper
(ii) improper
(iii) proper
(iv) improper
(v) improper
(vi) improper
(vii) proper
(viii) improper
(ix) improper
(x) proper

##### Que-2: Convert each of the following mixed fractions into an improper fraction :

(i) 8*3/4                                   (ii) 5*11/13                               (iii) 10*7/9
(iv) 33*1/3                               (v) 9*7/16

Solution- (i) 35/4
(ii) 76/13
(iii) 97/9
(iv) 100/3
(v) 151/16

##### Que-3: Convert each of the following improper fractions into an mixed fraction :

(i) 31/5                                     (ii) 80/7                                     (iii) 107/3
(iv) 115/13                               (v) 200/9

##### Que-4: Convert each of the following sets of unlike fractions into that of like fractions :

(i) 4/5, 7/10, 11/15, 13/20    (ii) 2/3, 1/4, 5/6, 7/8, 11/12 (iii) 1/3, 3/4, 5/12, 9/16, 17/24      (iv) 2/3, 1/6, 5/9, 7/12, 13/18 (v) 1/2, 4/7, 9/14, 11/21, 37/42   (vi) 2/7, 5/8, 11/14, 9/16, 3/4

Solution- (i) we get 60 as LCM now convert all the above fractions to denominator 60thus we have
4/5 as 48/60
7/10 as 42/60
11/15 as 44/60
13/20 as 39/60
48/60, 42/60, 44/60, 39/60

###### (ii) Like fractions means Denominator of all fractions must be same. Denominator can be make equal to their L.C.M

Here denominators are 3 , 4 , 6 , 8 and 12. L.C.M = 24
(2×8)/(3×8), (1×6)/(4×6), (5×4)/(6×4), (7×3)/(8×3) and (11×2)/(12×2)
16/24, 6/24, 20/24, 21/24, 22/24

###### (iii) Let the LCM of the denominators: 3, 4, 12, 16, and 24 is 48.

Now, we’ll convert each fraction to an equivalent fraction with the denominator 48:

1/3 = (1/3) * (16/16) = 16/48
3/4 = (3/4) * (12/12) = 36/48
5/12 = (5/12) * (4/4) = 20/48
9/16 = (9/16) * (3/3) = 27/48
17/24 = (17/24) * (2/2) = 34/48

So, the set of like fractions is: {16/48, 36/48, 20/48, 27/48, 34/48}

###### (iv) The denominators are 3, 6, 9, 12, and 18. The LCM of these numbers is 36.

Now, we’ll rewrite each fraction with a denominator of 36:

2/3​ becomes (2×12)/(3×12) = 24/36​

1/6​ becomes (1×6)/(6×6) = 6/36​

5/9​ becomes (5×4)/(9×4) = 20/36​

7/12​ becomes (7×3)/(12×3) = 21/36​

13/18 becomes (13×2)/(18×2) = 26/36​

So, the set of like fractions is:

24/36, 6/36, 20/36, 21/36, 26/36.

###### (v) The least common multiple (LCM) of the denominators: 2, 7, 14, 21, 42 The LCM of these numbers is 42.

Now, we’ll rewrite each fraction with the denominator of 42:

1/2 = (1 * 21) / (2 * 21) = 21/42

4/7 = (4 * 6) / (7 * 6) = 24/42

9/14 = (9 * 3) / (14 * 3) = 27/42

11/21 = (11 * 2) / (21 * 2) = 22/42

37/42 (already in terms of 42)

So, the fractions in like terms are:

1/2 = 21/42
4/7 = 24/42
9/14 = 27/42
11/21 = 22/42
37/42.

#### (vi) The least common multiple (LCM) of the denominators 7, 8, 14, 16, and 4 is 112. So, we can rewrite each fraction with a denominator of 112:

2/7​ becomes (2×16)/(7×16) = 32/112​

5/8 becomes (5×14)/(8×14) = 70/112​

11/14​ remains the same because the denominator is already 14.

9/16​ becomes (9×7)/(16×7) = 63/112​

3/4​ becomes (3×28)/(4×28) = 84/112​

Now, all the fractions have a common denominator of 112:

32/112​, 70/112​, 11/112​, 63/112​, and 84/112.

##### Que-5: Fill in the placeholders with > or < :

(i) 7/9 ….. 5/9                             (ii) 9/13 ….. 11/13                             (iii) 3/5 ….. 3/4
(iv) 7/9 ….. 7/11                         (v) 5/8 …… 5/6                                   (vi) 7/9 ….. 6/11
(vii) 6/5 …… 5/4                         (viii) 7/11 ….. 8/13                              (ix) 10/13 ….. 13/16
(x) 2/9 …… 3/14                         (xi) 7/12 ….. 5/9                                  (xii) 15/19 …… 3/4

Solution- (i) >
(ii) <
(iii) <
(iv) >
(v) <
(vi) >
(vii) <
(viii) >
(ix) <
(x) >
(xi) >
(xii) >

##### Que-6: Arrange the following fractions in ascending order :

(i) 3/11, 9/11, 4/11, 5/11, 1/11 (ii) 2/13, 2/9, 2/15, 2/7, 2/5
(iii) 2/3, 5/6, 7/9, 11/12, 13/18 (iv) 2/3, 1/4, 5/6, 3/8, 7/12

Solution- (i) 1/11 < 3/11 < 4/11 < 5/11 < 9/11
(ii) 2/15 < 2/13 < 2/9 < 2/7 < 2/5
(iii) 2/3 < 13/18 < 7/9 < 5/6 < 11/12
(iv) 1/4 < 3/8 < 7/12 < 2/3 < 5/6

##### Que-7: Arrange the following fractions in descending order :

(i) 5/12, 1/12, 7/12, 11/12, 9/12 (ii) 4/7, 4/3, 4/9, 4/5, 4/11 (iii) 2/3, 5/6, 7/9, 3/4, 1/2     (iv) 2/3, 3/5, 7/10, 8/15, 11/20 (v) 17/32, 7/12, 19/48, 13/24, 9/16   (vi) 5/6, 7/9, 17/24, 3/4, 23/36

Solution- (i) 11/12 > 9/12 > 7/12 > 5/12 > 1/12
(ii) 4/3 > 4/5 > 4/7 > 4/9 > 4/11
(iii) 5/6 > 7/9 > 3/4 > 2/3 > 1/2
(iv) 7/10 > 2/3 > 3/5 > 11/20 > 8/15
(v) 7/12 > 9/16 > 13/24 > 17/32 > 19/48
(vi) 5/6 > 7/9 > 3/4 > 17/24 > 23/36.

— : end of Fractions Class 6 RS Aggarwal Exe-4C Goyal Brothers ICSE Foundation Maths Solutions :–

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