Answer:
Shortest distance = 23/24
Farthest distance = 3 17/24 miles
Step-by-step explanation:
Distance of home from school = 2 1/3 miles
Distance of shop from school = 1 3/8 miles
Shortest distance possible :
(2 1/3 - 1 3/8) miles
(7/3 - 11/8) miles
L. C. M = 24
(56 - 33) / 24
23 / 24 miles
The farthest distance :
(2 1/3 + 1 3/8) miles
(7/3 + 11/8) miles
L. C. M = 24
(56 + 33) / 24
89 / 24
= 3 17/24 miles