aparentdiedandleftanestatetofourchildren.oneinherited4/9oftheestate,thesecondinherited7/81andthethirdinherited10/27howmuchdidthefouthinherit

__Determine total piece that is taken:__Since the denominators differ, we need to find a least common multiple to add the fractions

To see the LCM calculation for our the denominators 9,81,27, we can review the

LCM CalculatorOur LCM is 81

__Convert fractions using our LCM of 81:__To get to 81 we adjust our fraction by taking the LCM ÷ denominator → 81 ÷ 9 = 9

To get to 81 we adjust our fraction by taking the LCM ÷ denominator → 81 ÷ 81 = 1

To get to 81 we adjust our fraction by taking the LCM ÷ denominator → 81 ÷ 27 = 3

__Add up our fraction pieces:__The total piece of the pie is 1, so we need to find what is remaining:

1 can also be represented by using our common denominator below

Subtracting the amount of the pie used from the total piece of the pie, we get

Since this fraction cannot be reduced down anymore, this is our final answer