Solve this percentage of the pie problem

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

Add up our fraction pieces:

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

Final Answer

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


You have 2 free calculationss remaining



What is the Answer?
Since this fraction cannot be reduced down anymore, this is our final answer
How does the Percentage of the Pie Word Problem Calculator work?
Free Percentage of the Pie Word Problem Calculator - This takes two or three fractions of ownership in some good or object, and figures out what remaining fraction is left over.
This calculator has 1 input.

What 1 formula is used for the Percentage of the Pie Word Problem Calculator?

Remaining Percent = 1 - Fraction of pie taken

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Percentage of the Pie Word Problem Calculator?

fraction
how many parts of a certain size exist
a/b where a is the numerator and b is the denominator
percent
a specified amount in or for every hundred. one part in every hundred.
n% = n/100
percentage of the pie word problem
pie
Example calculations for the Percentage of the Pie Word Problem Calculator
  1. A parent died and left an estate to four children. one inherited 4/9 of the estate, the second inherited 7/81 and the third inherited 10/27 how much did the fouth inherit?

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