Question

Find five rational number between 3/5 and 2/3.
Also show me the process.

Answer 1

Hello Mate!

We will use formula

$\frac{r + s}{2} \\ = ( \frac{3}{5} + \frac{2}{3} ) \div 2 \\ = ( \frac{9 + 10}{15} ) \div 2 \\ = \frac{19}{30}$

So, we get 3/5 < 19/30 < 2/3

In 3/5 and 19/30 we have

$( \frac{3}{5} + \frac{19}{30} ) \div 2 \\ \frac{37}{60}$

In 3/5 and 37/60 we have

$( \frac{3}{5} + \frac{37}{60} ) \div 2 \\ \frac{73}{120}$

Now, in 19/30 and 2/3 we have

$( \frac{19}{30} + \frac{2}{3} ) \div 2 \\ \frac{39}{60}$

In 39/60 and 2/3 we have

$( \frac{39}{60} + \frac{2}{3}) \div 2 \\ \frac{79}{120}$

Hope it helps☺!✌