Which of the numbers lies
midway between 1/3 and 1/5 ?
Answers
Answered by
5
4
15
Explanation:
A trick question: The obvious, but wrong answer is
1
4
.
Actually
1
4
is called the harmonic mean of
1
3
and
1
5
- being the reciprocal of the average of the reciprocals.
To find the number halfway between
a
and
b
, calculate
1
2
(
a
+
b
)
...
1
2
(
1
3
+
1
5
)
=
1
2
(
5
15
+
3
15
)
=
1
2
(
8
15
)
=
4
15
Note that to add the fractions
1
3
and
1
5
we first give them a common denominator
15
by multiplying them by
5
5
and
3
3
respectively. Once we have a common denominator, then we can just add the numerators.
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Answered by
0
Answer:
1/3&1/5
lcm(3,5)=15
5/15&3/15
so the no. is 4/15
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