Q

# Find ten rational numbers between -2/5 and 1/2 .

4. Find ten rational numbers between  $\frac{-2}{5}$ and $\frac{1}{2}$ .

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Rational numbers between any 2 numbers can easily be find out by taking  their means.

i.e., For $\\\frac{-2}{5}$ and $\\\frac{1}{2}$

Their mean is $\left ( \frac{-2}{5}+\frac{1}{2} \right )\div 2 = \frac{1}{20}$ .     Hence 1 rational number between $\frac{-2}{5}$ and $\frac{1}{2}$ is $\frac{1}{20}$.

Now we will find mean between $\frac{-2}{5}$ and $\frac{1}{20}$ .

This implies new required rational number is $\left ( \frac{-2}{5}+\frac{1}{20} \right )/2 = \frac{-7}{40}$.

Similarly, we will find mean between  $\frac{1}{20}$  and  $\frac{1}{2}$

New required rational number is $\left ( \frac{1}{20}+\frac{1}{2} \right ) /2 = \frac{11}{40}$

Similarly, we will take means of new numbers generated between $\frac{-2}{5}$ and  $\frac{1}{2}$.

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