Alexander reads #1/8# of a book each night. How long will it take him to read #3/4 # of the book?

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Answer 1 · 2018-07-27T14:05:52

#6# nights

As #3/4=(2xx3)/(2xx4)=6/8#, it has #6# one-eighths.

If Alexander reads #1/8# i.e. one-eighth each night

to read #3/4# or #6/8#, it should take #6# nights.

Answer 2 · 2018-07-27T14:07:41

It will take #6# nights to read #3/4# of the book

Let #x# be the total number of nights taken by Alexander to read #3/4# of his book then

#\text{(portion of book read in one night)}\times \text{(number of nights)}=3/4#

#1/8 x=3/4#

#x={3\cdot 8}/4#

#=24/4#

#=6#

Hence the Alexander will take #x=6# nights to read #3/4# of his book