Simplify #13/3 + 5(5/4 - 3/2) ÷ 11/8# using PEMDAS?

1 Answer
Jul 7, 2017

Answer:

#13/3 + 5(5/4 - 3/2) ÷ 11/8=3 14/33#

Explanation:

We use PEMDAS as order of operations i.e. first parentheses. then exponents (none here), then multiplication and division and finally addition and subtraction.

Hence #13/3 + 5(5/4 - 3/2) ÷ 11/8#

= #13/3 + 5(5/4 - 6/4) ÷ 11/8#

= #13/3 + 5( - 1/4) ÷ 11/8# (solving parentheses)

= #13/3 - 5/4 xx 8/11# (multiplication and division)

= #13/3 - 5/cancel4^1 xx cancel8^2/11#

= #13/3-10/11# (addition and subtraction)

= #(13xx11)/(3xx11)-(10xx3)/(11xx3)#

= #143/33-30/33#

= #113/33#

= #3 14/33#