$=\frac {16}{12}-\frac {7}{12}+\frac {9}{20}-\frac {11}{30}+\frac {13}{42}-\frac {15}{56}$
$=\frac {15}{20}+\frac {9}{20}-\frac {11}{30}+\frac {13}{42}-\frac {15}{56}$
$=\frac {36}{30}-\frac {11}{30}+\frac {13}{42}-\frac {15}{56}$
$=\frac {35}{42}+\frac {13}{42}-\frac {15}{56}$
$=\frac {64}{56}-\frac {15}{56}$
$=\frac {49}{56}$
$=\frac {7}{8}$