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x y z x + y + z 12640
----- = ------ = ------ ⇒ ----------------------- = ---------- = 4740
5/6 4/3 1/2 5/6 + 4/3 + 1/2 8/3
x = 4740 (5/6) = 3950
y= 4740 (4/3) = 6320
z= 4740 (1/2) = 2370
reparto inverso:
tomando inversa común denominador
1 1 1 6 3 24 15 40
----- ; ------; ------ ⇒ -------- ; -------- ; 2 ⇒ -------- = -------- = -------
5/6 4/3 1/2 5 4 20 20 20
luego se trabaja como reparto directo
x y z x + y + z 12640
--------; -------- ; ------- ⇒ ---------------------- = ------------- = 160
24 15 40 24 + 15 + 40 79
x= 160 (24) = 3840
y= 160 (15) = 2400
z= 160 (40) = 6400