Insert three rational numbers between 1/4 and 1/2
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Answer:
Since we want the five rational number between 2 and 3
The numbers of denominator 5+1=7
So 2=
1×6
2×6
=
6
12
And 3=
1×6
3×6
=
6
18
We know that 12<13<14<15<17<18
And
6
12
<
6
13
<
6
14
<
6
15
<
6
16
<
6
17
<
6
18
Hence five rational number between 2 and 3 are
6
13
,
6
14
,
6
15
,
6
16
,
6
17
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