Solutions For All Chapters Maths Class 6
Ex 7.4 Class 6 Maths Question 1.
Write shaded portion as fraction. Arrange them in ascending and descending order using correct sign ‘<‘, ‘=’, ‘>’ between the fractions.
(c) Show 2/4 , 4/6, 8/6 and 6/6 on the number line. Put appropriate signs between the fractions given.
Solution:
(a) Total number of divisions = 8
(i) Number of shaded parts = 3
∴ Fraction = 3/8
(ii) Total number of divisions = 8
Number of shaded parts = 6
∴ Fraction = 6/8
(iii) Total number of divisions = 8
Number of shaded parts = 4
∴ Fraction = 4/8
(iv) Total number of divisions = 8
Number of shaded part = 1
∴ Fraction = 1/8
Now the fractions are:
3/8, 6/8, 4/8 and 1/8 with same denominator.
(b)(i) Total number of divisions = 9
Number of shaded parts = 8
∴ Fraction = 8/9
(ii) Total number of divisions = 9
Number of shaded parts = 4
∴ Fraction = 4/9
(iii) Total number of divisions = 9
Number of shaded parts = 3
∴ Fraction = 3/9
(iv) Total number of divisions = 9
Number of shaded parts = 6
∴ Fraction = 6 /9
∴ Fractions are 8/ 9, 4/9, 3/9, 6/9 with same denominator.
Ex 7.4 Class 6 Maths Question 2.
Compare the fractions and put an appropriate sign.
Solution:
Here, denominators of the two fractions are same and 3 < 5.
Here, numerators of the fractions are same and 7 > 4.
Here, denominators of the two fractions are same and 4 < 5.
Here, numerators of the two fractions are same and 5 < 7.
Ex 7.4 Class 6 Maths Question 3.
Make five more such pairs and put appropriate signs.
Solution:
Ex 7.4 Class 6 Maths Question 4.
Look at the figures and write ’<’, or ’>’ ’=’ between the given pairs of fractions.
Make five more such problems and solve them with your friends
Solution:
Make five more such problems yourself and solve them with your friends.
Ex 7.4 Class 6 Maths Question 5.
How quickly can you do this? Fill appropriate sign. ‘<‘, ‘=’, ‘>’.
Solution:
Ex 7.4 Class 6 Maths Question 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.
Solution:
Now grouping the above fractions into equivalent fractions, we have
Ex 7.4 Class 6 Maths Question 7.
Find answers to the following. Write and indicate how you solved them.
Solution:
By cross-multiplying, we get
5 x 5 = 25 and 4 x 9 = 36
Since 25 ≠ 36
By cross-multiplying, we get
9 x 9 = 81 and 16 x 5 =80
Since 81 ≠ 80
By cross-multiplying, we get
4 x 20 = 80 and 5 x 16 = 80
Since 80 = 80
By cross-multiplying, we get
1 x 30 = 30 and 4 x 15 = 60
Ex 7.4 Class 6 Maths Question 8.
Ila read 25 pages of a book containing 100 pages.
Lalita read 2/5 of the same book. Who read less?
Solution:
Ila reads 25 pages out of 100 pages.
Lalita reads 2/5 of the same book.
Comparing 1/4 and 2/5 , we get
1 x 5 = 5 and 2 x 4 = 8
Since 5 < 8
∴ 1/4 < 2/5
Hence Ila reads less pages.
Ex 7.4 Class 6 Maths Question 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 = 3/6of an hour.
Rohit exercised for 3/4 of an hour.
Comparing 3/6 and 3/4 , we get
3 x 4 = 12 and 3 x 6 = 18
Since 12 < 18
∴ 3/4 > 3/6
Hence Rohit exercised for longer time.
Ex 7.4 Class 6 Maths Question 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, 20 students passed in first class out of 25 students.
∴ Fraction of students getting first class
In class B, 24 students passed in first class out of 30 students.
∴ Fraction of students getting first class
Comparing the two fractions, we get 4/5 = 4/5
Hence, both the class A and B have the same fractions.
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