Question

A parent died and left an estate to four children. One inherited two ninths 2 9 of the​ estate, the second inherited StartFraction 19 Over 81 EndFraction 19 81​, and the third inherited StartFraction 12 Over 27 EndFraction 12 27. How much did the fourth​ inherit?

Answer 1

The fourth inherited 8/81 of the estate

Explanation:

If I get it correctly:

The first inherited 2/9

The second inherited 19/81

The third inherited 12/27

The fourth inherited x

The estate was divided in 4 parts, so the sum of the 4 parts equal 1

`1 = (2)/(9) + (19)/(81) + (12)/(27) +x \\1 = (2*9)/(9*9) + (19)/(81) + (12*3)/(27*3) +x \\1 = (18)/(81) + (19)/(81) + (36)/(81) +x \\1 = (18+19+36)/(81) +x \\1 = (73)/(81) +x \\1 - (73)/(81) = x \\(81-73)/(81) = x \\(8)/(81) =x`