Question

find six rational number between 3 and 4​

Answer 1

Taking 1 as a denominator upon 3 and 4....We get,

3/1 and 4/1

Now, Multiplying both numerator and denominator by 7, We get,

3/1×7/7= 21/7

4/1×7/7= 28/7

Now the rational numbers between 21/7 and 28/7 are:

22/7, 23/7, 24/7, 25/7, 26/7 and 27/7

I hope This will Help....

Answer 2

Step-by-step explanation:

Let us take the 3 and 4 as rational numbers with denominator 6 + 1 = 7

Then the 6 rational numbers between 3 and 4 are

$3=\frac{3*7}{1*7} = \frac{21}{7}$ and $4=\frac{4*7}{1*7} = \frac{28}{7}$

We know that 21<22<23<24<25<26<27<28

$\frac{21}{7} < \frac{22}{7} < \frac{23}{7} < \frac{24}{7} < \frac{25}{7} < \frac{26}{7} < \frac{27}{7} < \frac{28}{7}.$

Hence, six rational numbers between 3=21/7 and 4=28/7 are

$\frac{21}{7} ,\frac{22}{7} ,\frac{23}{7} ,\frac{24}{7} ,\frac{25}{7} ,\frac{26}{7}$ and $\frac{27}{7}.$