Question

find four rational numbers between 3/7 and 5/7

Answer 1

As we know the denominator is same. To find a 4 rational no.add 1 to 4 that will become 5 and then multiply 5 to both denominator and numerator of both the no.

3/7.5/5 and 5/7.5/5 . Here dot means multiply.

Answer 2

Answer:

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

To find:

Four rational numbers between 3/7 and 5/7  

Solution:

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

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

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

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

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

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

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