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

Answer:

$\frac{1}{24}$

Step-by-step 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:

$\frac{9}{24}$ + $\frac{8}{24}$ + $\frac{6}{24}$ = $\frac{23}{24}$

then whats left is 1/24 left to read, which cant be simplified so $\frac{1}{24}$

Answer 2

Answer:

   $\frac{1}{24}$

Step-by-step explanation:

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

$\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1$

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

$\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1\\\\\frac{9 + 8 + 6 + 24x}{24} = 1\\\\23 + 24x = 24\\24x = 1\\x = \frac{1}{24}$

$On\ the\ fourth\ day\ he\ read\ \frac{1}{24} \ of\ the\ book\ to\ finish\ it.$