Question

Write a rational number between rational numbers 1/9 and 2/9

Answer 1

1/9*3/3=3/27
2/9*3/3=6/27
  rational no b/w 1/9 & 2/9⇒4/27,5/27
 you can multiply them with greater numbers to get more numbers b/w them. just make sure that the denominators are same.

Answer 2

Answer:

The rational number between 1/9 and 2/9 is 1/6

To find:

The rational numbers that exists between the values 1/9 and 2/9

Solution:

Given rational numbers are 1/9 and 2/9

Before proceeding to finding out the rational numbers of the given fractions 1/9 and 2/9, we need to make sure that both the denominators of the given fractions are the same. If it doesn’t seems to be same, just take the LCM of both the denominators to make it as same.  

Here, we had both denominators as the same value. Hence,  

By using formula to find out the mean of the two numbers,

$\begin{array} { c } { \frac { \mathrm { x } + \mathrm { y } } { 2 } } \\\\ { = \frac { \left( \frac { 1 } { 9 } + \frac { 2 } { 9 } \right) } { 2 } } \end{array}$

$\begin{aligned} = & \frac { \left( \frac { 1 + 2 } { 9 } \right) } { 2 } \\\\ & = \frac { \left( \frac { 3 } { 9 } \right) } { 2 } \\\\ = & \frac { \left( \frac { 1 } { 3 } \right) } { 2 } \\\\ & = \frac { 1 } { 6 } \end{aligned}$

The rational number between 1/9 and 2/9 is 1/6