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

##### 1 Answer

Mar 26, 2017

#### 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"#