Question

find four rational number between 3/7 and 5/7
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Answer 1

Answer:

Any four rational numbers between the numbers 3/7 and 5/7 will be \frac { 10 } { 21 } , \frac { 11 } { 21 } , \frac { 12 } { 21 } , \frac { 13 } { 21 }

21

10

,

21

11

,

21

12

,

21

13

To find:

Four rational numbers between 3/7 and 5/7

Solution:

Let’s multiply the given fractions by the number 3 :

\frac { 3 } { 7 } \times \frac { 3 } { 3 } = \frac { 9 } { 21 } \text { and } \frac { 5 } { 7 } \times \frac { 3 } { 3 } = \frac { 15 } { 21 }

7

3

×

3

3

=

21

9

and

7

5

×

3

3

=

21

15

Thus, the rational numbers between the given numbers will be :

\frac { 10 } { 21 } , \frac { 11 } { 21 } , \frac { 12 } { 21 } , \frac { 13 } { 21 } , \ldots

21

10

,

21

11

,

21

12

,

21

13

,…

Any four rational numbers between numbers 3/7 and 5/7 will be

\frac { 10 } { 21 } , \frac { 11 } { 21 } , \frac { 12 } { 21 } , \frac { 13 } { 21 }

21

10

,

21

11

,

21

12

,

21

13

In this manner we can find any number of rational numbers.