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## QuestionMathsClass 9

Find six rational numbers between 3 and 4.

$$\frac{22}{7}, \frac{23}{7}, \frac{24}{7}, \frac{25}{7}, \frac{26}{7}, \frac{27}{7}$$.
4.6
4.6

## Solution

As we know, in between any two numbers, there are infinite rational numbers.
Since, we have to find $$6$$rational numbers between $$3$$and $$4$$.
Thus, multiply and divide by any number that is greater than $$6$$.
Hence, we take $$7$$,
So,$$3=\frac31 \times \frac{7}{7}=\frac{21}{7}$$
and $$4=\frac41 \times \frac{7}{7}=\frac{28}{7}$$
Therefore, the $$6$$ rational numbers are $$\frac{22}{7}, \frac{23}{7}, \frac{24}{7}, \frac{25}{7}, \frac{26}{7}, \frac{27}{7}$$.