## Basic College Mathematics (9th Edition)

1$\frac{2}{3}$
6$\frac{1}{2}$ - 4$\frac{5}{6}$ Convert the mixed fraction into improper fraction 6$\frac{1}{2}$ = $\frac{13}{2}$ 4$\frac{5}{6}$ = $\frac{29}{6}$ The least common multiple of 2 and 6 is 6. Rewrite all the fractions as fractions with a least common denominator of 6. $\frac{39}{6}$ - $\frac{29}{6}$= $\frac{10}{6}$ $\frac{10}{6}$ is not in lowest term so divide the numerator and denominator by common factor 2. $\frac{10}{6}$ = $\frac{5}{3}$ $\frac{5}{3}$ is improper fraction so convert it into mixed fraction $\frac{5}{3}$ = 1$\frac{2}{3}$