Solve the problem using proper order of operations: 3 / (7 * 72 / 6).

Solve the problem using proper order of operations: 3 / (7 * 72 / 6).

• A. 5.4
• B. 0.0357
• C. 2.72
• D. 400.2

Answer: (B)

To solve the problem \( 3 / (7 * 72 / 6) \), it is essential to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). 1. Start with the calculation inside the parentheses: \( 7 * 72 / 6 \). 2. First, perform the multiplication: \( 7 * 72 = 504 \). 3. Next, divide that result by 6: \( 504 / 6 = 84 \). 4. Now, substitute this back into the equation: \( 3 / 84 \). 5. Finally, to compute \( 3 / 84 \), you can simplify this fraction or perform long division. The fraction simplifies to \( 1 / 28 \). 6. Calculating this gives approximately \( 0.0357 \). Thus, the correct answer is represented accurately by the choice that states \( 0.0357 \). This answer logically follows from the step-by-step application of the order of operations and reflects the correct mathematical process in arriving at the solution.

To solve the problem ( 3 / (7 * 72 / 6) ), it is essential to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. Start with the calculation inside the parentheses: ( 7 * 72 / 6 ).

2. First, perform the multiplication: ( 7 * 72 = 504 ).

3. Next, divide that result by 6: ( 504 / 6 = 84 ).

4. Now, substitute this back into the equation: ( 3 / 84 ).

5. Finally, to compute ( 3 / 84 ), you can simplify this fraction or perform long division. The fraction simplifies to ( 1 / 28 ).

6. Calculating this gives approximately ( 0.0357 ).

Thus, the correct answer is represented accurately by the choice that states ( 0.0357 ). This answer logically follows from the step-by-step application of the order of operations and reflects the correct mathematical process in arriving at the solution.