# How do you convert the angle to a decimal in degrees 55° 19'8"?

Nov 10, 2016

${55}^{o} 19 ' 8 ' ' = 55.338888 \ldots \ldots . .$

#### Explanation:

We have $60$' (called $60$ minutes) in each degree and $60$"(called $60$ seconds) in each minutes.

Hence, ${55}^{o} 19 ' 8 ' '$

= $55 + \frac{19}{60} + \frac{8}{3600} = 55 + 0.316666 + 0.022222 = {55.338888}^{o}$

Actually it will be $55.33 \overline{8}$, which means $8$ will be repeating endlessly,