Question

write four rational no between
-5/2 and 2/3

Answer 1

Step-by-step explanation:

Converting the given rational numbers with the same denominators

2

−3

=

2×3

−3×3

=

6

−9

and

3

5

=

3×2

5×2

=

6

10

We know that −9<−8<−7<−6<…<0<1<2<8<9<10

⇒

6

−9

<

6

−8

<

6

−7

<

6

−6

<…<

6

0

<

6

1

<

6

2

<…<

6

8

<

6

9

<

6

10

.

Thus, we have the following five rational numbers between

2

−3

and

3

5

⇒

6

−8

,

6

−7

,

6

0

,

6

1

and

6

2

Answer 2

Step-by-step explanation:

Since, We want five rational numbers, we write

5

2

and

5

3

.

So multiply in numerator and denominator by 5+1=6 and we get,

5×6

2×6

=

30

12

and

5

3

=

5×6

3×6

=

30

18

We know that, 13<14<15<16<17

⇒

30

12

<

30

13

<

30

14

<

30

15

<

30

16

<

30

17

<

30

18

Hence, 5 rational numbers between

5

2

and

5

3

are:

⇒

30

13

,

30

14

,

30

15

,

30

16

,

30

17

ans.