सरल करें: `8 1/2-[3 1/4+(1 1/4-1/2{1 1/2-1/3-1/6)}]`

Options

A. `4 1/2`
B. `4 1/6`
C. `9 1/2`
D. `2/9`

Answer

A

Explanation

According to the question
`implies 8 1/2-[3 1/4 +{1 1/4-1/2(1 1/2- 1/3-1/6)}]`
`implies 17/2-[13/4+{5/4-1/2(3/2-1/3-1/6)}]`
`implies17/2-[13/4+{5/4-1/2((9-2-1)/6)}]`
`implies17/2-[13/4+{5/4-1/2x1{]`
`implies17/2-[13/4+(5-2)/4]`
`implies17/2-[13/4+3/4]`
`implies 17/2-16/4`
`implies(34-16)/4=18/4`
`implies 9/2=4 1/2`