Find 6 rational numbers between 3 and 4. Class 9

Find 6 rational numbers between 3 and 4. Class 9

Question 1.

Find 6 rational numbers between 3 and 4. Class 9

Solution:

$\begin{aligned} & 3=\frac{3 \times 7}{1 \times 7}=\frac{21}{7} \\ & 4=\frac{4 \times 7}{1 \times 7}=\frac{28}{7}\end{aligned}$

Now, the fractions lying strictly between

$\begin{aligned} & \frac{21}{7} \text { and } \frac{28}{7} \text { are: } \frac{22}{7}, \frac{23}{7}, \frac{24}{7}, \frac{25}{7}, \frac{26}{7}, \frac{27}{7} \\ & \therefore \quad 6 \text { rational numbers between } 3 \text { and } 4 \text { are } \\ & \frac{22}{7}, \frac{23}{7}, \frac{24}{7}, \frac{25}{7}, \frac{26}{7} \text { and } \frac{27}{7} .\end{aligned}$

Question 2.

Find 5 rational numbers between $\frac{2}{5}$ and $\frac{3}{5}$. Class 9

Solution:

$\begin{aligned} & \frac{2}{5}=\frac{2 \times 6}{5 \times 6}=\frac{12}{30} \\ & \frac{3}{5}=\frac{3 \times 6}{5 \times 6}=\frac{18}{30}\end{aligned}$

Now, the fractions lying strictly between

$\frac{12}{30}$ and $\frac{18}{30}$ are: $\frac{13}{30}, \frac{14}{30}, \frac{15}{30}, \frac{16}{30}, \frac{17}{30}$

∴ 5 rational numbers between $\frac{2}{5}$ and $\frac{3}{5}$ are

$\frac{13}{30}, \frac{14}{30}, \frac{15}{30}, \frac{16}{30}$ are $\frac{17}{30}$