Which is the equivalent of 6 14' 48" written in decimal form ?
$$\boxed{~6\ensurement{^{\circ}} ~14' ~48" ~}\\\\
\small{\text{$
\dfrac{ \dfrac{48"}{60}+14' }{60} + 6\ensurement{^{\circ}}
=\dfrac{0.8+14'}{60} + 6\ensurement{^{\circ}}
=\dfrac{14.8}{60} + 6\ensurement{^{\circ}}
=0.24666666667+ 6\ensurement{^{\circ}}
=6.24666666667\ensurement{^{\circ}}
=6.24\overline{6}\ensurement{^{\circ}}
$}}$$
We have :
6° 14' 48"
Since there are 60 minutes in each degree ... 14 of them = 14/60
And there are 3600 seconds in each degree..... so, 48 of them = 48/3600
So.
[ 6 + 14/60 + 48/3600]° = about 6.24666°
Which is the equivalent of 6 14' 48" written in decimal form ?
$$\boxed{~6\ensurement{^{\circ}} ~14' ~48" ~}\\\\
\small{\text{$
\dfrac{ \dfrac{48"}{60}+14' }{60} + 6\ensurement{^{\circ}}
=\dfrac{0.8+14'}{60} + 6\ensurement{^{\circ}}
=\dfrac{14.8}{60} + 6\ensurement{^{\circ}}
=0.24666666667+ 6\ensurement{^{\circ}}
=6.24666666667\ensurement{^{\circ}}
=6.24\overline{6}\ensurement{^{\circ}}
$}}$$