4/9 (3/16 - 1/12) =

Rationale

4/9 (3/16 - 1/12) equals 5/108.

First, calculate the value within the parentheses (3/16 - 1/12). Then, multiply the resulting value with 4/9 to get the final answer.

A (5/108) CORRECT

This is the correct answer. When you calculate the value inside the parentheses, you get 1/16. Then, multiplying 1/16 by 4/9 gives you 5/108.

B (5/48) YOUR ANSWER

This choice may result from incorrectly calculating the value inside the parentheses as 2/16 or 1/8. Multiplying 4/9 by 1/8 gives 1/18, which is not equal to 5/48.

C (2/9) YOUR ANSWER

This choice may result from directly subtracting 1/12 from 4/9 without considering the multiplication. This would result in 1/3, not 2/9.

D (20/48) YOUR ANSWER

This choice may be the result of incorrectly multiplying 4/9 by 3/16 without subtracting 1/12 first.

Conclusion

The key to solving this problem is to remember the order of operations: first perform the subtraction inside the parentheses, then carry out the multiplication. Completing these steps in the correct order results in the solution 5/108.

4/9 (3/16 - 1/12) =

4/9 (3/16 - 1/12) equals 5/108.

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