Question

(PLEASE HELP) 17. Jon read 3/8 of a book the

first day. 1/3 the second day.
and 1/4 the third day. On the
fourth day he finished the book.
What part of the book did Jon
read on the fourth day?

Answer 1

`(1)/(24)`

Explanation:

Let x be the part of the book he read on fourth day.

`(3)/(8) + (1)/(3) + (1)/(4) + x = 1`

`LCM \ of \ 8, 3 , 4 = 24.\ Therefore , \\\\`

`(3)/(8) + (1)/(3) + (1)/(4) + x = 1\\\\(9 + 8 + 6 + 24x)/(24) = 1\\\\23 + 24x = 24\\24x = 1\\x = (1)/(24)`

`On\ the\ fourth\ day\ he\ read\ (1)/(24) \ of\ the\ book\ to\ finish\ it.`

Answer 2

`(1)/(24)`

Explanation:

24 is a common multiple so ill just use that as a denominator:

3/8 = 9/24

1/3 = 8/24

1/4 = 6/24

so then adding those up:

`(9)/(24)` +
`(8)/(24)` +
`(6)/(24)` =
`(23)/(24)`

then whats left is 1/24 left to read, which cant be simplified so
`(1)/(24)`