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Questions and Solutions for NCERT Class 6th Mathematics Chapter 7 – Fractions – Exercise 7.4
1. Write shaded portion as fraction. Arrange them in ascending and descending order using correct sign ‘<’, ‘=’, ‘>’ between the fractions:
Solution:
(a) 3/8, 6/8, 4/8, 1/8
Ascending Order : 1/8 < 3/8 < 4/8 < 6/8
Descending Order : 6/8 > 4/8 > 3/8 > 1/8
(b) 7/9, 4/9, 3/9, 6/9
Ascending Order : 3/9 < 4/9 < 6/9 < 8/9
Descending Order : 8/9 > 6/9 > 4/9 > 3/9
(c) Show 2/6, 4/6, 8/6 and 6/6 on the number line. Put appropriate signs between the fractions given.
Answer:
5/6 > 2/6
3/6 > 0
1/6 < 6/6
8/6 > 5/6
2. Compare the fractions and put an appropriate sign.
Answer:
(a) 3/6 < 5/6
(b) 1/7 < 1/4
(c) 4/5 < 5/5
(d) 3/5 > 3/7
3. Make five more such pairs and put appropriate signs.
Sol: (a) 5/7 > 2/7
(b) 9/10 < 10/10
(c) 4/15 > 2/15
(d) 7/11 < 8/11
(e) 2/3 < 1/3
4. Look at the figures and write ‘<’ or ‘>’, ‘=’ between the given pairs of fractions.
Solution:
(a) 1/6 < 1/3
(b) 3/4 > 2/6
(c) 2/3 > 2/4
(d) 6/6 = 3/3
(e) 5/6 < 5/5
5. How quickly can you do this? Fill appropriate sign. ( ‘<’, ‘=’, ‘>’)
Solution:
(a) 1/2 > 1/5
(b) 2/4 = 3/6
(c) 3/5 < 2/3
(d) 3/4 > 2/8
(e) 3/5 < 6/5
(f) 7/9 > 3/9
(g) 1/4 = 2/8
(h) 6/10 < 4/5
(i) 3/4 < 7/8
(j) 6/10 < 4/5
(k) 5/7 = 15/21
6. The following fractions represent just three different numbers. Separate them into three groups of equivalent fractions, by changing each one to its simplest form.
(a) 2/12 (b) 3/15 (c) 8/50 (d) 16/100 (e) 10/60 (f ) 15/75 (g) 12/60 (h) 16/96 (i) 12/75 (j) 12/72 (k) 3/18 (l) 4/25
Solution:
7. Find answers to the following. Write and indicate how you solved them.
(a) Is 5/9 equal to 4/5 ?
(b) Is 9/16 equal to 5/9 ?
(c) Is 4/5 equal to 16/20 ?
(d) Is 1/15 equal to 4/30 ?
Solution:
8. Ila read 25 pages of a book containing 100 pages. Lalita read 2/5 of the same book. Who read less?
Solution: Total number of pages in the book = 100
Pages read by Ila = 25
Fraction of pages read by Ila = 25/100 = 1/4
Fraction of pages read by Lalita = 2/5
Since 1/4 < 2/5
Therefore, Ila read less.
9. Rafiq exercised for 3/6 of an hour, while Rohit exercised for 3/4 of an hour. Who exercised for a longer time?
Solution : Rafiq exercised for 3/6 of an hour
Rohit exercised for 3/4 of an hour
Since 3/4 > 3/6
Therefore, Rohit exercised for longer time.
10. In a class A of 25 students, 20 passed in first class; in another class B of 30 students, 24 passed in first class. In which class was a greater fraction of students getting first class?
Solution: In class A, fraction of students passed in first class = 20/25 = 4/5
In class B, fraction of students passed in first class = 24/30 = 4/5
Hence, both class A and B has same fraction of students getting first class.
You can find the solutions for Class 6 Mathematics previous exercises from here
- Chapter 7 – Fractions – Exercise – 7.3
- Fractions – Exercise – 7.2
- Chapter 7 – Fractions – Exercise – 7.1
- Integers – Exercise – 6.3
- Chapter 6 – Integers – Exercise 6.2
- Integers – Exercise 6.1
- Understanding Elementary Shapes – Exercise 5.9
- Chapter 5 – Understanding Elementary Shapes – Exercise 5.8
- Understanding Elementary Shapes – Exercise 5.7
- Chapter 5 – Understanding Elementary Shapes – Exercise 5.6
- Understanding Elementary Shapes – Exercise 5.5
- Chapter 5 – Understanding Elementary Shapes – Exercise 5.4
- Understanding Elementary Shapes – Exercise 5.3
- Chapter 5 – Understanding Elementary Shapes – Exercise 5.2
- Understanding Elementary Shapes – Exercise 5.1
- Chapter Basic Geometrical Ideas – Exercise 4.6 Solutions
- Basic Geometrical Ideas – Exercise 4.5 Solutions
- Chapter 4 Basic Geometrical Ideas – Exercise 4.4 Solutions
- Basic Geometrical Ideas – Exercise 4.3 Solutions
- Chapter 4 Basic Geometrical Ideas – Exercise 4.2 Solutions
- Basic Geometrical Ideas – Exercise 4.1 Solutions
- Playing with Numbers – Exercise 3.7 Solutions
- Chapter 3 Playing with Numbers – Exercise 3.6 Solutions
- Playing with Numbers – Exercise 3.5 Solutions
- Chapter 3 Playing with Numbers – Exercise 3.4 Solutions
- Playing with Numbers – Exercise 3.3 Solutions
- Chapter 3 Playing with Numbers – Exercise 3.2 Solutions
- Playing with Numbers – Exercise 3.1 Solutions
- Whole Numbers – Exercise 2.3 Solutions
- Chapter 2 Whole Numbers – Exercise 2.2 Solutions
- Whole Numbers – Exercise 2.1 Solutions
- Knowing Our Numbers Solutions Exercise 1.3 Solutions
- Chapter 1 Knowing Our Numbers Solutions Exercise 1.2 Solutions
- Knowing Our Numbers Solutions Exercise 1.1 Solutions
