Answer
$45.2^{\circ}$
Work Step by Step
To convert $45^{\circ} 12'$ to decimal degrees, let's break it as-
$45^{\circ} 12'$ = $45^{\circ}$ + $12'$
Now on dividing $12'$ by 60, we have the number of "decimal degrees" equivalent
to $12'$
Therefore
$45^{\circ} 12'$ = $45^{\circ}$ + $(\frac{12}{60})^{\circ}$
$45^{\circ} 12'$ = $45^{\circ}$ + $0.2^{\circ}$
$45^{\circ} 12'$ = $45.2^{\circ}$