. Find 3 rational numbers between
-
-
(a)1 /2 and 1/3
and
(b)1/3 and 1/5
and
(c) 4 and 5
Answers
a.) 1/2=0.5
& 1/3=0.3333333.......
So, 3 rational numbers between them are:
0.6,0.7&0.8
b.) 1/3=0.33333......
& 1/5=0.2
So,3 rational numbers between them are:
0.343443444.....,0.353553555.....& 0.363663666
c.) Three rational numbers between 4&5 are:
4.1, 4.2& 4.5
a)5/12,11/24,9/24
b)2/9,11/45,13/45
c)10/2,11/2,12/2
b)LCM of 3 and 5 is 15
1/3=5/15
1/5=3/15
To get two rational numbers between 1/3 and 1/5 multiply both numerator and
denominator of 5/15 and 3/15 by 3
5/15*3/3=15/45
3/15=3*3/15*3=9/45
The rational numbers are 10/45,11/45,13/45.14/45
i.e.2/9,11/45,13/45, 14/45
a)Rational number between 1/2 and 1/3
2
2
1
+
3
1
2
6
3+2
2
6
5
6×2
5
12
5
2
2
1
+
12
2
12
6+5
24
11
2
12
5
+
3
1
2
12
5+4
24
9
There rational number between 1/2 and 1/3 are 5/12, 11/24 and 9/24.
c)4+5/2=9/2
4+9/2=13/2
=10/2,11/2,12/2
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