Question

Jack read 1/6 of a book on monday and another 1/3 on tuesday. he took another 4 days to finish reading the book. he read the same number of pages on each of the 4 days. what fraction of the book did he read on each of the 4 days?

Answer 1

Answer:
`(1)/(8)`

Explanation:

Let x denotes the total number of pages in Jack's book , then we have

Then, the fraction of book he studies on Monday =
`(x)/(6)`

Fraction of book he studies on Tuesday =
`(x)/(3)`

The remaining pages of book he studied in 4 days =
`x-(x)/(6)-(x)/(3)`

Simplify using LCM, we get

`(6x-x-2x)/(6)=(3x)/(6)=(x)/(2)`

i.e. The remaining pages of book he studied in 4 days =
`(x)/(2)`

i.e. Fraction of the book he read on 4 days =
`(1)/(2)`

Then, the fraction of the book he read on each of the 4 days =
`(1)/(2)/ 4`

`=(1)/(2*4)=(1)/(8)`

Hence, Fraction of the book he read on each of the 4 days =
`(1)/(8)`