# How do you convert the angle 54^circ 45' in decimal degree form?

${54}^{o} 45 ' = {54.75}^{o}$
As we have $60$ minutes in each degree, there is no direct conversion and conversion of an angle given in degrees and minutes requires converting minutes to degree in fractions and then into decimals.
Here we are given ${54}^{o} 45 '$. As $45 ' = {\left(\frac{45}{60}\right)}^{o} = {\left(\frac{3}{4}\right)}^{o}$
${54}^{o} 45 ' = {\left(54 \frac{3}{4}\right)}^{o} = {54.75}^{o}$.