Question

Find six rational numbers between 3 and 4.
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Answer 1

Answer:

The answer is given below:

Step-by-step explanation:

$\frac{3}{1} + \frac{4}{1}$

($\frac{3}{1} *\frac{7}{7}$) and( $\frac{4}{1} * \frac{7}{7}$)

$\frac{21}{7}$ and $\frac{28}{7}$

The answer is : $\frac{22}{7} , \frac{23}{7} , \frac{24}{7}, \frac{25}{7}, \frac{26}{7}, \frac{27}{7}$

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 $\frac{27}{7}.$