Rational number between 1/2 and 1/3 is
a) −2/5
b) 2/5
c) 2/3
d) 1/4
Answers
Answer:
Step-by-step explanation:
3/6 and 2/6. Therefore, 5 rational numbers between 1/2 and 1/3 are 13/36, 14/36, 15/36, 16/36 & 17/36.
QUESTION :
Choose the correct option :
- Rational number between 1/2 and 1/3 is
a) −2/5
b) 2/5
c) 2/3
d) 1/4
Answer :
Option b.2/5 is correct.
Rational number between 1/2 and 1/3 is 2/5.
Given :
The rational numbers 1/2 and 1/3
To find :
The rational number between the given two rational numbers
Solution :
First of all we need to convert the given two rational numbers into like fractions :
1/2 and 1/3
The L.C.M of the denominators 2 and 3 is 6.
Hence,
1/2 × 3/3 = 3/6
and ,
1/3 × 2/2 = 2/6
The rational numbers are 3/6 and 2/6 .
In decimal 3/6 = 0.5 and 2/6 = 0.33
In decimal , -2/5 = -0.4
2/5 = 0.4
2/3 = 0.66
1/4 = 0.25
Hence , 0.4 is present between 0.33 and 0.5 .
or , 2/5 is present between 2/6 and 3/6
Thus, Rational number between 1/2 and 1/3 is 2/5.
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