Answer
Difference to the nearest minute=
$00^{\circ}05'$
Difference to the nearest hundredth=
$0.08^{\circ}$
Work Step by Step
$74.25^{\circ}=74^{\circ}+0.25(60')$
$=74^{\circ}+15'=74^{\circ}15'$
$74^{\circ}20'=74^{\circ}+\frac{20}{60}^{\circ}$
$=74^{\circ}+0.3333^{\circ}=74.3333^{\circ}$
Difference to the nearest minute=
$74^{\circ}20'-74^{\circ}15'=00^{\circ}05'$
Difference to the nearest hundredth=
$74.3333^{\circ}-74.25^{\circ}=0.08^{\circ}$