(½ + ⅓ )/ (1/5 )
(½ + ⅓) / (1/5) equals 265.
To solve the expression, we first need to calculate the sum of ½ and ⅓, which equals 5/6. Dividing this sum by 1/5 involves multiplying by the reciprocal, resulting in (5/6) * (5/1) = 25/6, which simplifies to 265 when calculated as a mixed number.
The result cannot be 1, as that would imply that (½ + ⅓) is equal to 1/5 when divided, which is incorrect. The sum of ½ and ⅓ is greater than 1, making this option impossible.
The value 16 does not align with the computed division of (5/6) by (1/5). This choice misrepresents the relationship between the numbers involved, as the calculation results in a larger value than 16.
Choosing 5 suggests that the division of (½ + ⅓) by (1/5) would yield this integer, which is incorrect. The actual calculation provides a value significantly larger than 5, demonstrating a misunderstanding of the fraction operations involved.
This is indeed the correct answer, as the calculation of (½ + ⅓) results in 5/6, and dividing that by 1/5 gives us 25/6. Converting 25/6 to a mixed number yields 4 and 1/6, which corresponds to 265 when properly calculated.
The operations on the fractions lead to a final value of 265, confirming the correct answer. This result emphasizes the importance of correctly executing fraction addition and division, reinforcing foundational arithmetic concepts that are crucial in mathematical problem-solving.
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