SOLUTION: This problem is converting degrees, minutes, and seconds to degrees with decimal fractions. I understand how to convert them but I don't understand where this answer came from. The

Algebra ->  Angles -> SOLUTION: This problem is converting degrees, minutes, and seconds to degrees with decimal fractions. I understand how to convert them but I don't understand where this answer came from. The      Log On


   

Question 175068: This problem is converting degrees, minutes, and seconds to degrees with decimal fractions. I understand how to convert them but I don't understand where this answer came from. The problem is 125 degrees, 20 minutes, 30 seconds. The first part of the answer is 125 and 20.5 over 60 degrees, the second part of the answer is 125 and 41 over 120 degrees. Why was the fraction doubled? Thanks!
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Remember the conversion:
1%5Eo=60minutes
1minute=60seconds
Then, 125deg,20min,30sec --------->working problem

125%5Eo%2B%2820%2F60%29%5Eo%2B%2830%2F3600%29%5Eo
Get LCD for those with fractions to add:
125%5Eo%2B%281200%2B30%29%2F3600=125%5Eo%2B%281230%2F3600%29
Reduce fraction by dividing both num. & den. by 60:
125%5Eo%2B%281230%2F60%29%2F%283600%2F60%29
125 & 20.5/60 degrees ------> ANSWER, OR highlight%28125.3416666%5Eo%29
Why the fraction part is doubled?
It doesn't matter -- doubled, tripled,quadrupled, or even times 10. Just remember whatever you do on the numerator, also do it on the denominator so the process is not change. Let' see:
125%2B%2820.5%2A2%29%2F%2860%2A2%29=125%2B%2841%2F120%29=125.3416666%5Eo, doubled
125%2B%2820.5%2A3%29%2F%2860%2A3%29=125%2B%2861.5%2F180%29=125.3416666%5Eo, tripled
125%2B%2820.5%2A10%29%2F%2860%2A10%29=125%2B%28205%2F600%29=125.3416666%5Eo, times 10
The ANSWER NEVER changed.
thank you,
Jojo