Question

Question #89ec6

Answer 1

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