Jake lives 2⅓mile from school. He decides to walk to the shop on his way home. The shop is 1⅜mile from school. A) What is the shortest possible distance from the shop to his home? B) What is the largest possible distance from the shop to his home?

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

step-by-step explanation:

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