Question

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

Answer 1

`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''`