#### Answer

$\frac{7}{6}$

#### Work Step by Step

$\frac{35}{45}\div\frac{10}{15}=\frac{35}{45}\times\frac{15}{10}=\frac{35\div5}{45\div5}\times\frac{15\div5}{10\div5}=\frac{7}{9}\times\frac{3}{2}$
$\frac{7}{9}\times\frac{3}{2}=\frac{7\times3}{9\times2}=\frac{21}{18}=\frac{21\div3}{18\div3}=\frac{7}{6}$