Kseeb Class 6 Mathematics Chapter 7 Fractions Solutions
Welcome to NCTB Solutions. Here with this post we are going to help 6th class students by providing Solutions for KSEEB Class 6 Mathematics chapter 7 Fractions. Here students can easily find all the solutions for Fractions Exercise 7.1, 7.2, 7.3, 7.4, 7.5 and 7.6. Also here our Expert Mathematic Teacher’s solved all the problems with easily understandable methods with proper guidance so that all the students can understand easily. Here in this post students will get chapter 7 solutions. Here all the solutions are based on Karnataka State Board latest syllabus.
Fractions Exercise 7.1 Solutions :
(8) Write the natural numbers from 2 to 12. What fraction of them are prime numbers?
Solution :
Natural numbers from 2 to 12 are 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
Prime no is are 2, 3, 5, 7, 11,
∴ Fraction is 5/11
(9) Write the natural numbers from 102 to 113. What fraction of them are prime numbers?
Solution :
We know, The Natural numbers are 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113
Prime numbers = (113, 107, 109, 113)
∴ Total numbers,
= (113 – 102) + 1
= 12
Prime numbers = 4
Now, the required fraction,
= 4/12
= 1/3
Thus, 1/3 fraction of them are prime numbers.
Fractions Exercise 7.2 Solution :
(4) Find the equivalent fraction of 3/5 having
(a) denominator 20
(b) numerator 9
(c) denominator 30
(d) numerator 27
Solution :
(b) Equivalent fraction of 3/5 having numerator 9 is
= 9/15
(c) Equivalent fraction of 3/5 having denominator 30 is
= 18/30
(5) Find the equivalent fraction of 36/48 with
(i) Numerator 9
(ii) Denominator 4
Solution :
(i) With numerator 9
= 36/48
= 36 ÷ 4/48 ÷ 4
= 9/12
(ii) With denominator 4
= 36/48
= 36 ÷ 12/48 ÷ 12
= 3/4
(6) Check whether the given fractions are equivalent :
(i) 5/9, 30/54
(ii) 3/10, 12/50
(iii) 7/13, 5/11
Solution :
(i) 5/9, 30/54
= 5/9 = 5 × 6/9 × 6
= 30/54
∴ These are equivalent
(ii) 3/10, 12/50
∴ 3/10
= 3 × 4/10 × 43
= -19/40
∴ These are not equivalent
(iii) 7/13, 5/11
= 7/13 × 5/5
= 35/65
Now, 5/11 × 7/7
= 35/77
∴ These are not equivalent
Fractions Exercise 7.3 Solutions :
(2) Compare the following fractions and put an appropriate sign :
(a) 3/6 __ 5/6
(b) 1/7 __ 1/4
(c) 4/5 __ 0/5
Solution :
(a) 3/6 < 5/6
(b) 1/7 < 1/4
(c) 4/5 > 0/5
(6) The following fractions represent just three different numbers. Separate them in to three groups of equal fractions by changing each one to its simplest from:
(i) 2/12
(ii) 3/15
(iii) 8/50
(iv) 16/100
(v) 10/60
(vi) 15/75
(vii) 12/60
(viii) 16/96
(ix) 12/75
(x) 12/72
(ix) 3/18
(xii) 4/25
Solution :
(i) 2/12
= 1/6
(ii) 3/15
= 1/5
(iii) 8/50
= 4/25
(iv) 16/100
= 4/25
(v) 10/60
= 1/6
(vi) 15/75
= 1/5
(vii) 12/60
= 1/5
(viii) 16/96
= 1/6
(ix) 12/75
= 4/25
(x) 12/72
= 1/6
(ix) 3/18
= 3/18 = 1/6
(xii) 4/25
= 4/25
(7) Find answers to the following. Write and indicate how you solved them.
(i) Is 5/9 equal to 4/5?
(ii) Is 9/16 equal to 5/9?
(iii) Is 4/5 equal to 16/20?
(iv) Is 1/15 equal to 4/30?
Solution :
(i) 5/9 = 4/5
∴ 5 × 5 = 4 × 9
= 25 ≠ 36
(ii) 9/16 = 5/9
∴ 9 × 9 = 16 × 5
= 81 ≠ 80
(iii) 4/5 = 16/20
∴ 4 × 20 = 5 × 16
∴ 80 = 80
(iv) No ; because
= 1/15 = 1*2/15*2 = 2/30
Since, 2/30 < 4/40 that is 1/15 < 4/30.
(9) Rafiq exercised for 2/3 hour, while Rohit exercised for 3/4 hour. who exercised for a longer time
Solution :
Rafiq exercise = 2/3 hour
Rohit exercise = 3/4 hour
∴ 2/3 3/4
= 8 < 9
So, 2/3 < 3/4.
∴ Rohit exercise more.
Fractions Exercise 7.6 Solutions :
(5) Complete the addition-subtraction box.
Solution :
(a)
| 2/3 | 4/3 | 2 |
| 1/3 | 2/3 | 1 |
| 1/3 | 2/3 | 1 |
(b)
| 1/2 | 1/3 | 5/6 |
| 1/3 | 1/4 | 7/12 |
| 1/6 | 1/12 | 1/4 |
(6) A piece of wire 7/8 metres long broke into two pieces. One piece was 1/4 meter long. How long is the other piece?
Solution :
A wire 7/8 metres long broke into two pieces.
One piece was 1/4 meter long
∴ Length of the other piece,
= (9/8 – 1/4)
= 7 -2/8
= 5/8 meter
So, the length of the other piece 5/8 metre.
(9) Ravish takes 2 1/5 minutes to walk across the school ground. Rahul takes 7/4 minutes to do the same. Who takes less time and by what fraction?
Solution :
Ravish takes,
= 2 1/5 minutes
= 11/5 min
Rahul takes,
= 7/4 min
L,C,M of 4, 5 = 20
∴ 11/5 × 20 = 44 minutes (Ravish)
7/4 × 20 = 35 minute (Rahul)
∴ Ravish take less time.
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