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

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 Calculator
Our 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
 4 x 9 9 x 9
 =
 36 81

To get to 81 we adjust our fraction by taking the LCM ÷ denominator → 81 ÷ 81 = 1
 7 x 1 81 x 1
 =
 7 81

To get to 81 we adjust our fraction by taking the LCM ÷ denominator → 81 ÷ 27 = 3
 10 x 3 27 x 3
 =
 30 81

 36 + 7 + 30 81

 73 81

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
 81 81

Subtracting the amount of the pie used from the total piece of the pie, we get
 81 - 73 81

 8 81

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