find a rational number between 3/8 and 2/5
Answers
Answer:
A rational number lying between \frac{3}{8}\: and \: \frac{2}{5}
8
3
and
5
2
= \frac{31}{80}
80
31
Step-by-step explanation:
We know that,
A rational number lying between any two Rational numbers a and b is \frac{(a+b)}{2}
2
(a+b)
Now ,
Here , a=\frac{3}{8} , b = \frac{2}{5}a=
8
3
,b=
5
2
A rational number lying between \frac{3}{8} \: and \frac{2}{5} \: is \: \left(\frac{\frac{3}{8}+\frac{2}{5}}{2}\right) = \frac{\frac{(15+16)}{40}}{2}
8
3
and
5
2
is(
2
8
3
+
5
2
)=
2
40
(15+16)
=\frac{\frac{31}{40}}{2}
2
40
31
= \frac{31}{40} \times \frac{1}{2}
40
31
×
2
1
= \frac{31}{80}
80
31
Therefore,
A rational number lying between \frac{3}{8}\: and \: \frac{2}{5}
8
3
and
5
2
= \frac{31}{80}
80
31
Note:
We can insert infinitly many Rational numbers between
any two given rational numbers.
[Density property]
•••
Answer:
15/40......so on
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