Question

find six rational number between 3 and 4

Answer 1

Hi friend, Harish here.

Here is your answer:

To find,

Six rational numbers between 3 & 4.

Solution,

Let us multiply and divide 3 & 4 by 7.

Then,

$3 = 3\times \frac{7}{7} = \frac{21}{7}$

$4= 4\times \frac{7}{7} = \frac{28}{7}$

Then, six rational numbers between them are:

$\frac{22}{7} ; \frac{23}{7}; \frac{24}{7}; \frac{25}{7}; \frac{26}{7}; \frac{27}{7}$
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Hope my answer is helpful to you.

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 $\frac{27}{7}.$