Question

Is 59/77 is rational no. between 5/7 and 9/11.

Answer 1

Hey

→ We have to check if : ( 5 / 7 ) < ( 59 / 77 ) < ( 9 / 11 )

Altering the Numerator to adjust with the Bounded Number,

→ ( 55 / 77 ) < ( 59 / 77 ) < ( 63 / 77 )

=> Since, this is true, the previous is also true

=> Yes, ( 59 / 77 ) is a rational number between ( 5 / 7 ) and ( 9 / 11 )

Answer 2

Hello,

$\frac{5}{7} and \: \frac{9}{11} \\ making \: denominator \: same \\ \\ \frac{55}{77} and \: \frac{63}{77}$
59/77 lies between the above range.
As well as 59/77 is a rational number as it is in p/q form where p, q are integers and also co-prime and q≠0.

Hence yes

59/77 is a rational number between 5/7 and 9/11

Hope this will be helping you ✌️