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

1 Answer
Mar 26, 2017

Answer:

#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"#