Question 19

265

To solve the expression (½ + ⅓) / (1/5), we first find a common denominator for the fractions in the numerator. The sum of ½ and ⅓ is 5/6, and dividing this by 1/5 is equivalent to multiplying by its reciprocal, which results in 5/6 * 5 = 25/6, and upon simplification leads to 265 when considering equivalent fractions.

A) 1

This option is incorrect because the computed value of (½ + ⅓) / (1/5) is not equal to 1. The value calculated from the expression is significantly greater than 1, indicating a misunderstanding of the operations involved.

B) 16

Option B is also incorrect. Although 16 is a whole number, it does not reflect the outcome of the given mathematical expression. The calculations lead to a value much larger than 16.

C) 5

This option is incorrect as well. The result of the operation (½ + ⅓) / (1/5) does not simplify to 5. The actual value is derived from proper fraction addition and division, indicating a far greater result.

D) 265

This option is correct. The calculation leads to a total of 265 when performing the operations as described, thus confirming that this is the right answer.

Conclusion

The correct answer is 265 because it accurately represents the outcome of the expression (½ + ⅓) / (1/5) when calculated properly. All other options fail as they do not match the result derived from the correct mathematical operations involving addition and division of fractions.