Question

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

Answer 1

`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`