Mid point of a line segement

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Find the midpoint of the two points $A\left(\frac{1}{8},\frac{1}{3}\right)\text{ and }B\left(2,\frac{-3}{7}\right)$.

**Answer**

$\text{The mid point }M \text{ of any two points } P\left(x_1 ,y_1\right) \text{ and } Q\left(x_2, y_2\right)\text{ is given by }\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$.

$\text{So, the mid point of the given two points is given by:}$

$\left(\frac{\frac{1}{8}+2}{2},\frac{\frac{1}{3}-\frac{3}{7}}{2}\right)=\left(\frac{\frac{17}{8}}{2},\frac{\frac{-2}{21}}{2}\right)=\left(\frac{17}{16},\frac{-1}{21}\right)$