James read an equal number of pages of his book each night for 8 nights to prepare for his upcoming exam. During this time, he has read a total of mc023-1.jpg of the book. What fraction of the book did he read each night?
mc023-2.jpg of the book
mc023-3.jpg of the book
mc023-4.jpg of the book
mc023-5.jpg of the book
Answers
Given : James read an equal number of pages of this book each each night for 8 nights to prepare for his upcoming exam. During this time, he has read a total of 6/7 of the book.
To find : What fraction of the book did he read each night
Solution:
Book read by James in 8 nights = 6/7
Book read by James in 1 night = (6/7) / 8
=> Book read by James in 1 night = 6/(7 * 8)
=> Book read by James in 1 night = 6/56
=> Book read by James in 1 night = 2 * 3/(2 * 28)
=> Book read by James in 1 night = 3/28
3/28 fraction of the book he read each night
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Answer:
3/28
Step-by-step explanation: