Insert six rational
number between -1/2 and -2/3
Answers
Answer:
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Answer:
Consider the given equation is,
we know that, if aand b are two rational number such that a<b then
2
1
(a+b) is a rational number between us.
A rational number between
4
−1
and
2
−1
=
2
1
(
4
−1
+
2
−1
)
=
2
1
(
4
−3
)
=
8
−3
A rational number between
4
−1
and
8
−3
=
2
1
(
4
−1
+
8
−3
)
=
2
1
(
8
−5
)
=
16
−5
A rational number between
8
−3
and
16
−5
=
2
1
(
16
−3
+
8
−5
)
=
2
1
(
16
−11
)
=
32
−11
A rational number between
8
−3
and
2
−1
=
2
1
(
8
−3
+
2
−1
)
=
2
1
(
8
−7
)
=
16
−7
A rational number between
2
−1
and
16
−7
=
2
1
(
2
−1
+
16
−7
)
=
2
1
(
16
−15
)
=
32
−15
A rational number between
32
−11
and
32
−15
=
2
1
(
32
−11
+
32
−15
)
=
2
1
(
32
−26
)
=
64
−26
Hence, six rational number are
8
−3
,
16
−5
,
32
−11
,
16
−7
,
32
−15
,
64
−26
.