Intermediate Algebra, Chapter 3, 3.1, Section 3.1, Problem 66

Determine the midpoint of the line segment with endpoints $\displaystyle \left( \frac{21}{4}, \frac{2}{5} \right)$ and $\displaystyle \left( \frac{7}{4}, \frac{3}{5} \right)$.

Use the midpoint formula with $\displaystyle x_1 = \frac{21}{4}, x_2 = \frac{7}{4}, y_1 = \frac{2}{5}$ and $\displaystyle y_2 = \frac{3}{5}$

$\displaystyle \left( \frac{\displaystyle \frac{21}{4} + \frac{7}{4}}{2}, \frac{\displaystyle \frac{2}{5} + \frac{3}{5}}{2} \right) = \left( \frac{\displaystyle \frac{28}{4}}{2}, \frac{\displaystyle \frac{5}{5}}{2} \right) = \left( \frac{7}{2}, \frac{1}{2} \right)$