Question 17

2/3 (6 + 1/2) = 4,1/3

To solve the equation, first add 6 and 1/2 to get 6.5. Then, multiplying 2/3 by 6.5 yields 4.333..., which can be expressed as 4,1/3.

A) 4,1/3

This option is correct as it represents the result of the calculation accurately. The operation involves adding 6 and 0.5 (1/2), resulting in 6.5. When multiplied by 2/3, the result simplifies to 4,1/3.

B) 4,1/2

This option is incorrect because 4,1/2 (or 4.5) does not match the outcome of the calculation. The multiplication of 2/3 by 6.5 does not yield this value, indicating a misunderstanding of the operation.

C) 5,1/2

This option is also incorrect as it suggests a result of 5.5, which is not the product of the calculation. The correct multiplication of 2/3 and 6.5 does not lead to this answer.

D) 6,1/3

This option is incorrect since it implies a result of approximately 6.33, which exceeds the actual calculated value. The process of multiplying 2/3 by 6.5 does not support this conclusion.

Conclusion

The correct answer is 4,1/3, as it accurately reflects the result of the multiplication of 2/3 and the sum of 6 and 1/2. All other options misrepresent the outcome of the calculation, confirming that they are not valid answers.