List any five rational numbers between 2/3 and 4/5
Answers
Step-by-step explanation:
Rational number is any number that can express in the form of
q
p
of two integers, where 'q' cannot be zero, so
(i) The rational number between
5
3
and
5
4
is average of
5
3
and
5
4
2
1
(
5
3
+
5
4
)=
2
1
(
5
3+4
)=
10
7
(ii) The second rational number between
5
3
and
5
4
can be calculated bye calculating the average of
5
3
and
10
7
2
1
(
5
3
+
10
7
)=
2
1
(
10
6+7
)=
20
13
(iii) The third rational number between
5
3
and
5
4
can be calculated by calculating the average of
10
7
and
5
4
2
1
(
10
7
+
5
4
)=
2
1
(
10
7+8
)=
20
15
(iv) The fourth rational number between
5
3
and
5
4
can be calculated by calculating the average of
5
3
and
20
13
2
1
(
5
3
+
20
13
)=
2
1
(
20
12+13
)=
40
25
(v) The fifth rational number between
5
3
and
5
4
can be calculated by calculating the average of
20
13
and
5
4
2
1
(
20
13
+
5
4
)=
2
1
(
20
13+16
)=
40
29
Then five rational are
10
7
,
20
13
,
20
15
,
40
27
and
40
29
Answer:
30/45, 31/45, 32/45, 33/45, 34/45 etc.