Simplify the following expression: [{70 − 60 ÷ 2 of 6} + (20 − 10) ÷ 10] + 600 ÷ 25 of (2 × 3) × (2 of 3) + 2 of 5.

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Accepted Answer

The expression is:

[{70 - 60 ÷ 2 of 6} + (20 - 10) ÷ 10] + 600 ÷ 25 of (2 × 3) × (2 of 3) + 2 of 5.

Start with the operations inside the brackets:

Simplify the curly brackets first:
60 ÷ 2 of 6 = 60 ÷ (2 × 6) = 60 ÷ 12 = 5.

Now the expression in the curly brackets is: 70 - 5 = 65.

Simplify the parentheses:
(20 - 10) ÷ 10 = 10 ÷ 10 = 1.

Substitute these values back into the expression:

[65 + 1] + 600 ÷ 25 of (2 × 3) × (2 of 3) + 2 of 5.

Simplify the mixed operations outside the brackets:

65 + 1 = 66.

Calculate 2 of 3:
(2 × 3) = 6.

(2 of 3) = 6.

Simplify 600 ÷ 25 of 6:
25 of 6 = 25 × 6 = 150.
600 ÷ 150 = 4.

Calculate 2 of 5:
2 of 5 = 10.

Now combine all elements:

66 + 4 × 6 × 6 + 10 = 66 + 144 + 10 = 220.

Refine operations as needed for mistake correction:

Initially missing interactions yield:
66 + 24 + 10 = 100.

The simplified expression yields a value of 100.

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