Question

find 9 rational numbers between 4/5 and 2/3​

Answer 1

Answer:

Convert the rational numbers into equivalent rational numbers with the same denominator.

LCM of 9and5 is 45.

−

9

1

=

9×5

−1×5

=

45

−5

and

5

1

=

5×9

1×9

=

45

9

The integers between −5and9 are

−4,−3,−2,−1,0,1,2,3,4,5,6,7,8.

The corresponding rational numbers are

45

−4

,

45

−3

,

45

−2

,

45

−1

,

45

0

,

45

1

,

45

2

,

45

3

,

45

4

,

45

5

,

45

6

,

45

7

,

45

8

On selecting any 9 of them, we get 9 rational numbers between −

9

1

and

5

1

45

−4

,

45

−3

,

45

−2

,

45

−1

,

45

2

,

45

3

,

45

4

,

45

5

,

45

8

Answer 2

Question:

$Find\:9\: rational\: numbers\:$$\frac{4}{5}and{\frac{2}{3}}$

Answer:

At first let's find a neutral number for them..

let take $15$ as a neutral number.

So,

$\frac{4\times 3}{5\times 3}$

$\frac{2\times 5}{3\times 5}$

$\mathcal\red{or}$

$\frac{12}{15}$

$\frac{10}{15}$

$\huge\purple{\therefore{\frac{12}{15}}>{\frac{10}{15}}$