Question

6 rational number between 3&4 with breef

Answer 1

six rational numbers between 3 and 4
are:
3/1*10/10=30/10
4/1*10/10=40/10
so, six rational numbers between 3 & 4 are: 31/10,32/10,33/10,34/10,35/10,36/10

Answer 2

Hey Mate!

We can take out rational number by
$\frac{r + s}{2} where$

r < s

So,

$\frac{3 + 4}{2} = \frac{7}{2}$

In, 3 and 7/2 because

$(3 + \frac{7}{2} ) \div 2 \\ \frac{13}{2} \times \frac{1}{2} = \frac{13}{4}$

In, 3 and 13/4 we have

$(3 + \frac{13}{4} ) \div 2 \\ \frac{25}{4} \times \frac{1}{2} = \frac{25}{8}$

In, 3 and 25/8 we have

$(3 + \frac{25}{8} ) \div 2 \\ \frac{49}{8} \times \frac{1}{2} = \frac{49}{16}$

In, 7/2 and 4

$(\frac{7}{2} + 4) \div 2 \\ \frac{15}{2} \times \frac{1}{2} = \frac{15}{4}$

In, 15/4 and 4 we have

$( \frac{15}{4} + 4) \div 2 \\ \frac{31}{4} \times \frac{1}{2} = \frac{31}{8}$

Now, we have 3 < 49/16 < 25/8 < 13/4 < 7/2 < 15/4 < 31/8 < 4

Hope it helps☺!✌