How do we write #1440/13# degrees in minutes and seconds?

1 Answer
Mar 8, 2017

#1440/13# degrees are #110^@46'9.23''#

Explanation:

Before we attempt this, recalling

we have #60'# called sixty minutes in each degree

and #60''# called sixty seconds in each minute.

As #1440/13=110+10/13# degrees which we can write as #110^@# and #(10/13)^@#

Now converting #(10/13)^@# into minutes we have

#(10/13)^@=10/13xx60=600/13=46 2/13# minutes and we can write it as #46'# and #(2/13)'#

and #(2/13)'# are #2/13xx60=120/13=9.23# seconds.

Hence #1440/13# degrees are #110^@46'9.23''#