## Basic College Mathematics (9th Edition)

$\frac{2}{3}$
1. $\frac{-\frac{5}{7}}{-\frac{15}{14}}$=$\frac{\frac{5}{7}}{\frac{15}{14}}$ Cancel the Minus sign 2. $\frac{\frac{5}{7}}{\frac{15}{14}}$= $\frac{5}{7}\times\frac{14}{15}$ Extract the denominator 3. $\frac{5}{7}\times\frac{14}{15}$=$\frac{1}{1}\times\frac{2}{3}$ Cancel Common Multiples Divide 5 and 15 by 5 to get 1 and 3 respectively Divide 7 and 14 by 7 to get 1 and 2 respectively 4. ∴ Answer = $\frac{1}{1}\times\frac{2}{3}$=$\frac{2}{3}$