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Road trip question

on a trip Liam agreed to drive 2/3 of the total distance if Jessica drove the remaining distance. Upon completing his share of driving, Liam fell asleep. When Liam awoke, Jessica still had 20% of her share left to drive. In lowest terms, for what fractional part of the whole trip was Liam asleep. 

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David W. | I'll help you understand math!I'll help you understand math!
4.9 4.9 (62 lesson ratings) (62)
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So, Amber, if she has 20% left, she's driven 80%, right?
 
80/100 = 4/5
 
We also know she agreed to drive the last 1/3 of the total, so she drove 4/5 of her 1/3 while he slept.
 
(4/5)(1/3) = 4/15
 
Hope this helps!