Answer
$48.45^{\circ}$
Work Step by Step
To convert $48^{\circ} 27'$ to decimal degrees, let's break it as-
$48^{\circ} 27'$ = $48^{\circ}$ + $27'$
Now on dividing $27'$ by 60, we have the number of "decimal degrees" equivalent
to $27'$ (as $ 1^{\circ} = 60'$)
Therefore
$48^{\circ} 27'$ = $48^{\circ}$ + $(\frac{27}{60})^{\circ}$
$48^{\circ} 27'$ = $48^{\circ}$ + $0.45^{\circ}$
$48^{\circ} 27'$= $48.45^{\circ}$