Question

Insert three rational numbers between $\frac{9}{11}$ and $\frac{5}{7}.$

Answer 1

We are making the denominator of both numbers the same so that we can easily compare both numbers.

The given numbers are :

$\frac{9}{11}$ and $\frac{5}{7}$

Now, $\frac{5}{7}=\frac{5\times 11}{7\times 11}=\frac{55}{77}$

And, $\frac{9}{11}=\frac{9\times 7}{11\times 7}=\frac{63}{77}$

so 3 rational numbers between $\frac{5}{7}$ and $\frac{9}{11}$ are

$\frac{56}{77},\frac{57}{77}$ and $\frac{58}{77}$.