Question

A delivery truck drives three routes in one day. The first route is 1223 miles long, the second route is 1034 miles long, and the third route is 1512 miles long. What is the total number of miles the delivery truck drives? Enter your answer as a mixed number in simplest form by filling in the boxes. $$ miles

Answer 1

`Total = 38(11)/(12)\ miles`

Explanation:

Given

`First\ Route = 12(2)/(3)\ miles`

`Second\ Route = 10(3)/(4)\ miles`

`Third\ Route = 15(1)/(2)\ miles`

Required

Determine the total miles

`Total = First\ Route + Second\ Route + Third\ Route`

`Total = 12(2)/(3) + 10(3)/(4) + 15(1)/(2)`

Convert to improper fractions

`Total = (38)/(3) + (43)/(4) + (31)/(2)`

Take LCM

`Total = (152 + 129 + 186)/(12)`

`Total = (467)/(12)`

`Total = 38(11)/(12)\ miles`