Evaluate :

[11 - 20 ÷ (52 - 13) ÷ 3 + 8] x 2

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]

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i hope this answer you! if you have any further questions or concerns, feel free to ask! : )

step-by-step explanation:

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