## anonymous 4 years ago how do I convert 205 degrees 24' 55" to a decimal version of degrees?

1. anonymous

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

2. anonymous

Ans is 205.41 degrees

3. asnaseer

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.

4. y2o2

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

5. Mertsj

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

6. Mertsj

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

7. anonymous

thank you guys!

8. asnaseer

yw