Question #89ec6

1 Answer
Jan 18, 2018

Morgan has #23/36# of a cake left

Explanation:

Morgan had #8/9# of a cake and ate #1/4# of it so essentially we have this expression:

#8/9-1/4#

To subtract fractions with different denominators we have find the least common denominator

If we list the multiples of #4# and #9#

#4: 4,8,12,16,24,28,32,color(red)36#

#9:9,18,27,color(red)36,45#

#36# is the least common denominator and so we'll have to manipulate each fraction such that both denominators are #36#

#8/9-1/4=>[4/4]*8/9-1/4*[9/9]=32/36-9/36#

So we now have:

#32/36-9/36=23/36#

So she has #23/36# of a cake left