# How do you convert 0.45^circ to D^circM'S'' form?

Dec 14, 2016

${0.45}^{o} = {0}^{o} 27 ' 0 ' '$

#### Explanation:

In ${D}^{o} M ' S ' '$ "form, one degree is equivalent to $60$ minutes and each minute is equivalent to $60$ seconds.

As such, ${0.45}^{o}$ is equivalent to $0.45 \times 60 = 27 '$

As there are no fractional minutes, number of seconds are $0$

and ${0.45}^{o} = {0}^{o} 27 ' 0 ' '$

Note - Had we have ${0.455}^{o}$ this would have been equivalent to $0.455 \times 60 = 27.3 '$ and then $0.3 '$ would have been equivalent to $0.3 \times 60 = 18 ' '$ and ${0.455}^{o} = {0}^{o} 27 ' 18 ' '$