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Solution :
6 ⅕ + [ 3 ⅛ + { 9 ⅙ - ( 6 ½ + 1 ¼ - 1 ⅛ )}]
> 6 ⅕ + [ 3 ⅛ + { 9 ⅙ - ( 13/2 + 5/4 - 9/8 )}]
> 6 ⅕ + [ 3 ⅛ + { 9 ⅙ - ( (52 + 10 - 9)/8 )}]
> 6 ⅕ + [ 3 ⅛ + { 9 ⅙ - 53/8 }]
> 6 ⅕ + [ 3 ⅛ + { 55/6 - 53/8 }]
> 6 ⅕ + [ 3 ⅛ + { (220 - 159 )/24 }]
> 6 ⅕ + [ 3 ⅛ + 61/24]
> 31/5 + [ 25/8 + 61/24]
> 31/5 + [ 136/24]
> 744 + 680 /120
> 1424/120
> ≈ 11.86667
This is the required answer .
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