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

2 Answers
Mar 20, 2016

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

Mar 20, 2016

Answer:

#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#