Question 7

3 X (1/2 + 1/3) = 2,1/2

To solve the equation, first find the sum of the fractions inside the parentheses. The sum of 1/2 and 1/3 is 5/6. Then, multiplying this by 3 gives us 3 * (5/6) = 15/6, which simplifies to 2,1/2.

A) 2,1/2

This option is correct because it accurately represents the result of the calculation. After finding a common denominator and adding the fractions, the product with 3 simplifies correctly to 2,1/2.

B) 2,5/6

This option is incorrect as it suggests that the result of the calculation is larger than what it actually is. The correct evaluation of 3 * (1/2 + 1/3) does not yield this outcome.

C) 3,1/6

This option is also incorrect. It implies that the result is greater than 3, which contradicts the calculated value. The multiplication of 3 by the sum of 1/2 and 1/3 does not lead to this answer.

D) 3,5/6

This option is incorrect as well. It incorrectly suggests that the result exceeds 3, which is not supported by the computation of 3 * (1/2 + 1/3). The actual result falls below this value.

Conclusion

The calculation confirms that the correct answer is 2,1/2, as it accurately reflects the process of summing the fractions and multiplying by 3. All other options are incorrect because they misrepresent the results of the arithmetic operations performed.