Final answer:
To simplify the given expression, we follow the order of operations (PEMDAS/BODMAS). Starting from left to right, we perform the operations within parentheses first. Next, we perform the multiplication and division from left to right. Finally, we evaluate the remaining addition and subtraction.
Step-by-step explanation:
To simplify the given expression, we follow the order of operations (PEMDAS/BODMAS). Starting from left to right, we perform the operations within parentheses first:
64 ÷ 8 of 2 × 6 + [10 of 6 - {15 of 4 × (8÷6) ÷ 40}] - 12
64 ÷ 8 of 2 × 6 + [10 of 6 - {15 of 4 × (4/3) ÷ 40}] - 12
8 of 2 × 6 + [10 of 6 - {15 of 4 × (4/3) ÷ 40}] - 12
Next, we perform the multiplication and division from left to right:
8 × 2 × 6 + [10 of 6 - {15 of 4 × (4/3) ÷ 40}] - 12
16 × 6 + [10 of 6 - {15 of 4 × (4/3) ÷ 40}] - 12
96 + [10 of 6 - {15 of 4 × (4/3) ÷ 40}] - 12
Now we evaluate the operations within the square brackets:
96 + [10 × 6 - {15 of 4 × (4/3) ÷ 40}] - 12
=>96 + [60 - {15 of 4 × (4/3) ÷ 40}] - 12
=>96 + [60 - {15 × (4/3) ÷ 40}] - 12
=>96 + [60 - {60/3 × (4/3) ÷ 40}] - 12
=>96 + [60 - {20 × (4/3) ÷ 40}] - 12
=>96 + [60 - {80/3 ÷ 40}] - 12
=>96 + [60 - {8/3}] - 12
=>96 + [60 - 2.67] - 12
=>96 + 57.33 - 12
=>153.33 - 12
=>141.33
Therefore, the simplified value of the given expression is 141.33.
Learn more about Simplifying mathematical expressions