Question

How do you simplify `10\div [ ( 1+ 5\div 6]`?

Answer 1

`60/11=5 5/11`

Explanation:

To evaluate an expression with `color(blue)"mixed operations"` there is a particular order that must be followed.

Follow the order as set out in the acronym PEMDAS

{Parenthesis (brackets), Exponents (powers), Multiplication, Division, Addition, Subtraction ]

`rArr10-:[(1+5-:6)]`

Evaluating the `color(blue)"inner bracket first"`

`5-:6=5/6larrcolor(red)"division in exact form"`

`rArr1+5/6=1 5/6=11/6larrcolor(red)" inner bracket"`

The expression is now reduced to.

`10-:11/6`

`=10/1xx6/11`

`=(10xx6)/(1xx11)`

`=60/11larrcolor(red)" improper fraction"`

`=5 5/11larrcolor(red)" mixed number"`