Question

How do you simplify `7 1/2 - (1/9 + 2/3) div 3/2`?

Answer 1

`15/2-(1+6)/9*2/3`
`15/2-7/9*2/3`
`15/2-14/27`
`(405-28) /54`
`377/54`
`6.981`

Answer 2

`6 53/54`

Explanation:

Converting mixed fraction to simple fraction and
Simplifying the fraction within the parenthesis to begin with, using PEMDAS or BODMAS

`15/2-((1+6)/9)-:3/2`
`15/2-7/9-:3/2`
Next is solving of `-:` by converting it to `xx` and writing reciprocal of divisor
`15/2-7/9xx 2/3`
`15/2-14/27`
We are left with `-`sign

`(405-28) /54`
`377/54`
Stating the result as a mixed fraction
`6 53/54`