Answer:
19/72 or 0.26388....
Explanation:
Simplify the following:
((3/4 + 5/6)/2)/3
((3/4 + 5/6)/2)/3 = (3/4 + 5/6)/(2×3):
(3/4 + 5/6)/(2×3)
Put 3/4 + 5/6 over the common denominator 12. 3/4 + 5/6 = (3×3)/12 + (2×5)/12:
((3×3)/12 + (2×5)/12)/(2×3)
3×3 = 9:
(9/12 + (2×5)/12)/(2×3)
2×5 = 10:
(9/12 + 10/12)/(2×3)
9/12 + 10/12 = (9 + 10)/12:
((9 + 10)/12)/(2×3)
9 + 10 = 19:
(19/12)/(2×3)
(19/12)/(2×3) = 19/(2×3×12):
19/(2×3×12)
2×3 = 6:
19/(6×12)
6×12 = 72:
Answer: 19/72 or 0.26388....