Find four rational numbers between -4/3 and 5/7
Answers
Answer:
-51/70, -52/70, -53/70, -54/70, -55/70
Step-by-step explanation:
-4/5 and -5/7
Making the denominator same (making the denominator 70)
-4/5*14/14 and -5/7*10/10
= -56/70 and -50/70
So the numbers in between are -51/70, -52/70, -53/70, -54/70, -55/70
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