## Algebra: A Combined Approach (4th Edition)

$\dfrac{\dfrac{3}{5}+\dfrac{2}{7}}{\dfrac{1}{5}+\dfrac{5}{6}}=\dfrac{6}{7}$
$\dfrac{\dfrac{3}{5}+\dfrac{2}{7}}{\dfrac{1}{5}+\dfrac{5}{6}}$ Evaluate the sums indicated in the numerator and the denominator: $\dfrac{\dfrac{3}{5}+\dfrac{2}{7}}{\dfrac{1}{5}+\dfrac{5}{6}}=\dfrac{\dfrac{21+10}{35}}{\dfrac{6+25}{30}}=\dfrac{\dfrac{31}{35}}{\dfrac{31}{30}}=...$ Evaluate the division and simplify: $...=\dfrac{31}{35}\div\dfrac{31}{30}=\dfrac{31(30)}{31(35)}=\dfrac{30}{35}=\dfrac{6}{7}$