+0  
 
0
5110
2
avatar

Which is the equivalent of 6 14' 48" written in decimal form?

 May 7, 2015

Best Answer 

 #2
avatar+26400 
+5

Which is the equivalent of 6 14' 48" written in decimal form ?

$$\boxed{~6\ensurement{^{\circ}} ~14' ~48" ~}\\\\
\small{\text{$
\dfrac{ \dfrac{48"}{60}+14' }{60} + 6\ensurement{^{\circ}}
=\dfrac{0.8+14'}{60} + 6\ensurement{^{\circ}}
=\dfrac{14.8}{60} + 6\ensurement{^{\circ}}
=0.24666666667+ 6\ensurement{^{\circ}}
=6.24666666667\ensurement{^{\circ}}
=6.24\overline{6}\ensurement{^{\circ}}
$}}$$

 May 8, 2015
 #1
avatar+130511 
+5

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°

 

  

 May 7, 2015
 #2
avatar+26400 
+5
Best Answer

Which is the equivalent of 6 14' 48" written in decimal form ?

$$\boxed{~6\ensurement{^{\circ}} ~14' ~48" ~}\\\\
\small{\text{$
\dfrac{ \dfrac{48"}{60}+14' }{60} + 6\ensurement{^{\circ}}
=\dfrac{0.8+14'}{60} + 6\ensurement{^{\circ}}
=\dfrac{14.8}{60} + 6\ensurement{^{\circ}}
=0.24666666667+ 6\ensurement{^{\circ}}
=6.24666666667\ensurement{^{\circ}}
=6.24\overline{6}\ensurement{^{\circ}}
$}}$$

heureka May 8, 2015

0 Online Users