2 3/4 + 1 5/6 + 1 1/2​

= 2 3/4 + 1 5/6 + 1 1/2

= (2 × 4 + 3)/4 + (1 × 6 + 5)/6 + (1 × 2 + 1)/2

= 11/4 + 11/6 + 3/2

= (11 × 6/4 × 6) + (11 × 4/6 × 4) + (3 × 12/2 × 12)

= 66/24 + 44/24 + 36/24

= (66 + 44 + 36)/24

= (110 + 36)/24

= 146/24

= 73/12

= 5 13/12