Answer
$\frac{9}{10}$
Work Step by Step
($\frac {1}{2}$+$\frac {1}{4}$)$\div$($\frac {1}{2}$+$\frac {1}{3}$)
($\frac {1\times2}{2\times2}$+$\frac {1}{4}$)$\div$($\frac {1\times3}{2\times3}$+$\frac {1\times2}{3\times2}$)
($\frac {2}{4}$+$\frac {1}{4}$)$\div$($\frac {3}{6}$+$\frac {2}{6}$)
($\frac {2+1}{4}$)$\div$($\frac {3+2}{6}$)
($\frac {3}{4}$)$\div$($\frac {5}{6}$)
$\frac {3}{4}$$\times$$\frac {6}{5}$
$\frac {18}{20}=\frac {18\div2}{20\div2}=\frac{9}{10}$
