Answer:
4406/117
Step-by-step explanation:
Order of operations PEMDAS
Parentheses:
[11 - 20 ÷ (52 - 13) ÷ 3 + 8] x 2
= [11 - 20 ÷ 39 ÷ 3 + 8] x 2
Multiply or divide:
⇒ [11 - 20 ÷ 39 ÷ 3 + 8] x 2
= [11 - 20/117 + 8] x 2
Parentheses:
⇒ [11 - 20/117 + 8] x 2
= 2203/117 x 2
Multiply or divide:
⇒ 2203/117 x 2
= 4406/117
Evaluating the expression using BODMAS:
Work
Step-1: [11 - 20 ÷ (52 - 13) ÷ 3 + 8] x 2
Step-2: ⇒ [11 - 20 ÷ 39 ÷ 3 + 8] x 2 [Bracket subtraction]
Step-3: ⇒ [11 - 20/39 ÷ 3 + 8] x 2 [Bracket division]
Step-4: ⇒ [11 - 20/39 x 1/3 + 8] x 2
Step-5: ⇒ [11 - 20/117 + 8] x 2 [Bracket multiplication]
Step-6: ⇒ [19 - 20/117] x 2 [Bracket addition]
Step-7: ⇒ [2223/117 - 20/117] x 2
Step-8: ⇒ [2203/117] x 2 [Bracket subtraction]
Step-9: ⇒ 2203/117 x 2
Step-10 ⇒ 4406/117 (Final Answer) [Multiplication]
