Question

the course of a yachting race is in the shape of a triangle with sides that measure a = 3\frac{1}{10} miles, b = 2\frac{9}{10} miles, and c = 1\frac{1}{2} miles. find the total length of the course in miles.

Explanation:

Step1: Convert mixed - numbers to improper fractions

$A = 3\frac{1}{10}=\frac{3\times10 + 1}{10}=\frac{31}{10}$, $B = 2\frac{9}{10}=\frac{2\times10+9}{10}=\frac{29}{10}$, $C = 1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}=\frac{15}{10}$

Step2: Add the fractions

$\frac{31}{10}+\frac{29}{10}+\frac{15}{10}=\frac{31 + 29+15}{10}=\frac{75}{10}$

Step3: Simplify the fraction

$\frac{75}{10}=\frac{15}{2}=7\frac{1}{2}$

Answer:

$7\frac{1}{2}$