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Write shaded portion as fraction. Arrange them in ascending and descending order using correct sign ‘<’, ‘=’, ‘>’ between the fractions:
(a)

(b)

(c) Show
on the number line. Put appropriate signs between the fractions given.
(a)

Here, 1st circle represents 3 shaded parts out of 8 equal parts. Therefore, it represents a fraction
.

Here, 2nd circle represents 6 shaded parts out of 8 equal parts. Therefore, it represents a fraction
.

Here, 3rd circle represents 4 shaded parts out of 8 equal parts. Therefore, it represents a fraction
.

Here, 4th circle represents 1 shaded part out of 8 equal parts. Therefore, it represents a fraction
.
Now, these fractions may be arranged as
![]()
(b)

Here, 1st square represents 8 shaded parts out of 9 equal parts. Therefore, it represents a fraction
.

Here, 2nd square represents 4 shaded parts out of 9 equal parts. Therefore, it represents a fraction
.

Here, 3rd square represents 3 shaded parts out of 9 equal parts. Therefore, it represents a fraction
.

Here, 4th square represents 6 shaded parts out of 9 equal parts. Therefore, it represents a fraction
.
Now, these fractions can be arranged as
![]()
(c) To represent the given fractions
on number line, each unit length should be divided in 6 equal parts. Now, these fractions can be represented as

![]()
Compare the fractions and put an appropriate sign.
(a)
(b) ![]()
(c)
(d)
(a) ![]()
Here, the denominators are same. Therefore, the fraction having the greater numerator will be greater.
(b) ![]()
![]()
As 4 < 7,
![]()
(c) ![]()
Here, the denominators are same. Therefore, the fraction having the greater numerator will be greater.
(d) ![]()
Here, the numerators are same. Therefore, the fraction having lesser denominator will be greater.
Make five more such pairs and put appropriate sign.
(i) ![]()
Here, the denominators are same. Therefore, the fraction having the greater numerator will be greater.
(ii) ![]()
Here, the denominators are same. Therefore, the fraction having the greater numerator will be greater.
(iii) ![]()
Here, numerators are same. Therefore, the fraction having the lesser denominator will be greater.
(iv) ![]()
Here, the denominators are same. Therefore, the fraction having the greater numerator will be greater.
(v) ![]()
Here, the numerators are same. Therefore, the fraction having the lesser denominator will be greater.
Look at the figures and write ‘<’ or ‘>’, ‘=’ between the given pairs of fractions.

(a) ![]()
(b) ![]()
(c) ![]()
(d) ![]()
(e)
(a) Here, the numerators are same. Therefore, the fraction having the
lesser denominator will be greater.
Hence, ![]()
(b) ![]()
![]()
As the denominators of
are same, the fraction having the greater numerator will be greater.
Hence, ![]()
(c) Here, the numerators are same. Therefore, the fraction having the lesser denominator will be greater.
Hence, ![]()
(d) As
,
![]()
(e) Here, the numerators are same. Therefore, the fraction having the lesser denominator will be greater.
Hence, ![]()
How quickly can you do this? Fill appropriate sign (‘<’, ‘=’, ‘>’)
(a)
(b) ![]()
(c)
(d) ![]()
(e)
(f) ![]()
(g)
(h) ![]()
(i)
(j) ![]()
(k)
(a) Here, the numerators are same. Therefore, the fraction having the
lesser denominator will be greater.
Hence, ![]()
(b) ![]()
Hence, ![]()
(c) ![]()
![]()
As the denominators of
are same, the fraction having the greater numerator will be greater.
Hence, ![]()
(d) ![]()
As the denominators of
are same, the fraction having the greater numerator will be greater.
Hence, ![]()
(e) Here, the denominators are same. Therefore, the fraction having the greater numerator will be greater.
Hence, ![]()
(f) Here, the denominators are same. Therefore, the fraction having the greater numerator will be greater.
Hence, ![]()
(g) ![]()
Hence, ![]()
(h) ![]()
As the denominators of
are same, the fraction having the greater numerator will be greater.
Hence, ![]()
(i) ![]()
As the denominators of
are same, the fraction having the greater numerator will be greater.
Hence, ![]()
(j) ![]()
As the denominators of
are same, the fraction having the greater numerator will be greater.
Hence, ![]()
(k) ![]()
Hence, ![]()
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)
(b) ![]()
(c)
(d) ![]()
(e)
(f) ![]()
(g)
(h) ![]()
(i)
(j) ![]()
(k)
(l)
(a) ![]()
(b) ![]()
(c) ![]()
(d) ![]()
(e) ![]()
(f) ![]()
(g) ![]()
(h) ![]()
(i) ![]()
(j) ![]()
(k) ![]()
(l) ![]()
There are 3 groups of equivalent fractions
(a), (e), (h), (j), (k)
(b), (f), (g)
(c), (d), (i), (l)
Find answers to the following. Write and indicate how you solved them.
(a)
? (b)
?
(c)
? (d)
?
(a) ![]()
Converting these into like fractions,

Therefore, ![]()
(b) ![]()
Converting these into like fractions,

![]()
(c) ![]()
![]()
Therefore, ![]()
(d) ![]()
![]()
![]()
Ila read 25 pages of a book containing 100 pages. Lalita read
of the same book. Who read less?
Numbers of pages read by Lalita =
= 40
Number of pages read by Ila = 25
Hence, Ila has read less number of pages.
Rafiq exercised for
of an hour, while Rohit exercised for
of an hour.
Who exercised for a longer time?
Rafiq exercised for
and Rohit exercised for ![]()
Converting these into like fractions,

![]()
Hence, Rohit exercised for a longer time.
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?
Fraction of students of class A who passed in Ist class =![]()
![]()
Fraction of students of class B who passed in Ist class =![]()
From both classes, an equal fraction of students passed in first class.
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