Question 15

14

The result of the expression 6+(16÷3)÷(6-(16÷3)) simplifies to 14. By following the order of operations, we can clearly see how this outcome is derived.

A) 1,1/3

Option A is incorrect because the calculated value from the expression is significantly higher than 1,1/3. The expression involves division and addition that contribute to a final value much greater than this option suggests.

B) 5,1/3

Option B is also incorrect since evaluating the expression yields a value that surpasses 5,1/3. The operations within the expression lead to a larger result, indicating that this option underestimates the outcome.

C) 14

Option C is correct as the expression evaluates to exactly 14. By performing the calculations step-by-step—first calculating 16÷3, then substituting it back into the expression and simplifying—we arrive at this precise result.

D) 17

Option D is incorrect because the final value of the expression does not reach 17. The operations conducted do not yield a sum that high, further confirming that 14 is the accurate result.

Conclusion

The correct answer is 14, as derived from careful calculation of the provided expression. Both Options A and B underestimate the result, while Option D overestimates it, all failing to reflect the true outcome of the operations. Thus, Option C stands out as the definitive answer based on the evaluation of the mathematical expression.