Question

Find five rational numbers between
$\frac{3}{5} and \frac{4}{5}$
​

Answer 1

3/5×6/6=15/30

4/5×6/6=20/30

16/30,17/30,18/30,19/30

Answer 2

To find 5 irrational numbers between $\sf\frac{3}{5}$ and $\sf\frac{4}{5}$.

We will have to make both a bigger value as there aren't rational numbers between them.

Multiplying by 10,

$\sf\frac{3\times10}{4\times10}$ = $\sf\frac{30}{50},\sf\frac{4\times10}{5\times10}$ = $\sf\frac{40}{50}$

Now, that we've made them bigger, there are enough rational numbers for us to pick out from.

Five rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$ include $\sf\frac{31}{50}, \frac{32}{50}, \frac{35}{50}, \frac{37}{50}\ and\ \frac{39}{50}.$