Aman drove 15/4 miles from his home to his office. he then went out for lunch to a nearby restaurant 2/3 miles from his office and back. later on he goes to a store 2 miles from his office and then drove back to his home 11/6 miles. what distance in total did he travel?

Let's get all of the distances lined up:

= home to office
to a restaurant
back to the office
= store
= back home

So then we just add up all of the numbers. However we need to make sure that there is a common denominator. Let's make the common denominator 12, since that is a common factor to all of the denominators in the problem:

= home to office
to a restaurant
back to the office
= store
= back home

Then let's add them up:



This does not reduce to a nice number, however, we can simplify to:

Iplay an instrument and i'm in band