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12 votes
Rational number between 1/3 and 9/10

User EJS
by
8.1k points

2 Answers

13 votes
The arithmetic mean (i.e. average) of
9
10
and
3
4
is:
1
2
(
9
10
+
3
4
)
=
1
2
(
18
20
+
15
20
)
=
1
2
(
33
20
)
=
33
40
The harmonic mean of
9
10
and
3
4
is:
2
10
9
+
4
3
=
2
10
9
+
12
9
=
2
22
9
=
9
11
Another rational number between
9
10
and
3
4
is:
9
+
3
10
+
4
=
12
14
=
6
7
In fact, noting that both
3
4
and
9
10
are of the form
n
n
+
1
, we find:
3
4
<
4
5
<
5
6
<
6
7
<
7
8
<
9
10
User Unconditional
by
8.1k points
5 votes

Answer:

so given range is 0.33333 to 0.9 an answer is 6/10 and there are more on this

2/10, 3/10, 4/10, 5/10, 6/10, 8/10

Explanation:

any number you can express with an fraction form

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