Answer
$\frac{33}{56}$
Work Step by Step
$1\frac{1}{10}\div5\frac{3}{5}\ \longrightarrow$ convert to improper fractions
$1\frac{1\times10+1}{10}\div5\frac{5\times5+3}{5}\ \longrightarrow$ simplify
$\frac{11}{10}\div\frac{28}{5}\ \longrightarrow$ multiply by inverse
$\frac{11}{10}\times\frac{15}{28}\ \longrightarrow$ multiply numerators and denominators
$\frac{11\times15}{10\times28}\ \longrightarrow$ simplify
$\frac{165}{280}\ \longrightarrow$ reduce
$\frac{165\div5}{280\div5}\ \longrightarrow$ simplify
$\frac{33}{56}$
