how do I convert 205 degrees 24' 55" to a decimal version of degrees?

Question

anonymous · Answer

1degree =60'
1'=1/60 degree
24'=24/60degree
this is the idea
can be extended

anonymous · Answer

Ans is 205.41 degrees

asnaseer · Answer

as NotSObright indicated:

1 Degree = 60 Minutes = 60'
1 Minute = 60 Seconds = 60''

So,
I Degree = 3600 Seconds

Use these facts to convert the Minutes and Seconds to Degrees.

y2o2 · Answer

I've an easy way:

1) divide the seconds by 60 (55/60) = 0.916666
2) add the minutes to the product , 24+0.91666 = 24.91666
3)divide it by 60 , 24.91666/60 = 0.415277
4) add the degrees to it , 205+0.415277 = 205.415277
5) That's all :D

mertsj · Answer

$$205^{o}24'55"=205^{o}+\frac{24}{60}^{o}+\frac{55}{3600}^{o}$$=

mertsj · Answer

$$205+.4+.015=205.415^{o}$$

anonymous · Answer

thank you guys!

asnaseer · Answer

yw