Question

Evaluate :

[11 - 20 ÷ (52 - 13) ÷ 3 + 8] x 2

Answer 1

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]

Answer 2

4406/117

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