Let us Remember..
 Fractions with same denominators are called like fractions. For example, 1/15, 2/15, 3/15, 8/15 are all like fractions.
 Fractions with different denominators are called unlike fractions. 11/27 and 9/28 are unlike fractions
 For given any two fraction the fraction with the same denominator, the fraction with the greater numerator is greater. For example Between 4/5 and 3/5, 4/5 is greater. Between 11/20 and 13/20, 13/20 is greater and so on.
 when we compare two unlike fractions, we first get their equivalent fractions with a denominator which is a common multiple of the denominators of both the fractions
2  4  8  6  
(c) Show  and  on the number line. Put appropriate signs between the fractions given.  
6  6  6  6 
5  2  3  1  6  8  5  
,  0  ,  ,  
6  6  6  6  6  6  6 
1  3  4  6  
<  <  <  
8  8  8  8 
3  4  6  8  
<  <  <  
9  9  9  9 
(c)
5  2  3  1  6  8  5  
,  0  ,  ,  
6  6  6  6  6  6  6 
2. Compare the fractions and put an appropriate sign.
3  5  
a.  
6  6 
1  1  
b.  
7  4 
4  5  
c.  
5  5 
3  3  
d.  
5  7 
3  5  
a.  
6  6 
1  1  
b.  
7  4 
4  5  
c.  
5  5 
3  3  
d.  
5  7 
5  3  
1.  >  
8  8 
15  5  
2.  >  
13  6 
5  9  
3.  <  
11  12 
5  4  
4.  >  
6  5 
3  3  
5.  =  
3  3 
1  1  
a.  
6  3 
3  2  
b.  
4  6 
2  2  
c.  
3  4 
6  3  
d.  
6  3 
5  5  
e.  
6  5 
Answer:
1  1  
a.  
6  3 
3  2  
b.  
4  6 
2  2  
c.  
3  4 
6  3  
d.  
6  3 
5  5  
e.  
6  5 
1  1  
a.  
2  5 
2  3  
b.  
4  6 
3  2  
c.  
5  3 
3  2  
d.  
4  8 
3  6  
e.  
5  5 
7  3  
f.  
9  9 
1  2  
g.  
4  8 
6  4  
h.  
10  5 
3  7  
i.  
4  8 
6  4  
j.  
10  5 
5  15  
k.  
7  21 
1  1  
a.  
2  5 
2  3  
b.  
4  6 
3  2  
c.  
5  3 
3  2  
d.  
4  8 
3  6  
e.  
5  5 
7  3  
f.  
9  9 
1  2  
g.  
4  8 
6  4  
h.  
10  5 
3  7  
i.  
4  8 
6  4  
j.  
10  5 
5  15  
k.  
7  21 
Answer:
2  1  
a.  =  
12  6 
3  1  
b.  =  
15  5 
4  4  
c.  =  
50  25 
16  4  
d.  =  
100  25 
10  1  
e.  =  
60  6 
15  16  
f.  =  
75  5 
12  1  
g.  =  
60  5 
16  1  
h.  =  
96  6 
12  4  
i.  =  
75  25 
12  1  
j.  =  
72  6 
3  1  
k.  =  
28  6 
4  4  
l.  =  
25  25 
1  1  1  1  1  
a.  e.  h.  j.  k.  
6  6  6  6  6 
1  1  1  
b.  f.  g.  
5  5  5 
4  4  4  4  
c.  d.  i.  l.  
25  25  25  25 
5  4  
a.Is  equal to  ?  
9  5 
5  5  
b.Is  equal to  ?  
16  9 
4  16  
c.Is  equal to  ?  
5  20 
1  4  
d.Is  equal to  ?  
15  30 
5  25  4  36  25  36  
No;  =  ,  =  and  ≠  
9  45  5  45  45  45 
9  81  5  80  81  80  
No;  =  ,  =  and  ≠  
16  144  9  144  1 44  144 
4  16  
Yes;  =  
5  20 
1  2  4  8  2  8  
No;  =  ,  =  and  ≠  
15  30  30  60  30  60 
2  
of the same book. Who read less ?  
5 
The fraction of pages Ila read    25/100 = 1/4 
The fraction of pages Ila read  = 2/5 
Comparing both the fractions  = 1x5/4x5=5/20, 2x4/5x4=8/20 
Clearly 5/20 is less than 8/20  i.e. 5/20 < 8/20 
There for Illa reads less 
3  3  
9. Rafiq exercised for  of an hour, while Rohit exercised for  
6  4  
Who exercised for a longer time? 
3  
The fraction of an hour, Rafiq exercised for =  
6 
3  
The fraction of an hour, Rohit exercised for =  
4 
Comparing both the fractions  
3x2  6  3x3  9  
=  ,  =  
6x2  12  4x3  12 
9  6  
As  >  There for Rohit excercised for longer time  
12  12 
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? Answer;
In a class A of 25 students, 20 passed in first class 
There for the fraction of students of class A, passed in first class = 20/25 
In a class B of 30 students, 24 passed in first class 
There for the fraction of students of class B, passed in first class = 24/30 
The fractions are unlike. We should first get their equivalent fractions
with a denominator which is a common multiple of 25 and 30.Clearly common denominator is 150 which is in fact LCM of 25 and 30. After having equivalent fraction for both, we can easily compare the fractions of students getting First Class in both the classes.


4  4  
As  =  
5  5 
4  
∴ Same fraction i.e.  of students got first class in both classes.  
5 
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