Final Answer:
Rounding to the nearest half, 1/5 is approximately 0.2, and 5/11 is approximately 0.5. Therefore, 5/11 is greater than 1/5.
Step-by-step explanation:
To compare the fractions 1/5 and 5/11 using rounding to the nearest half, it is helpful to convert them to decimal form. 1/5 is equivalent to 0.2, and 5/11 is approximately 0.4545. Rounding 0.4545 to the nearest half gives 0.5. Comparing these rounded values, we see that 5/11 (rounded to 0.5) is greater than 1/5 (rounded to 0.2).
When rounding fractions, it's essential to convert them to decimal form for a more straightforward comparison. The hint to use rounding to the nearest half emphasizes the precision needed for a quick and accurate assessment. In this case, 5/11, when rounded, surpasses 1/5, indicating that 5/11 is the greater fraction.
Understanding the relative sizes of fractions is crucial in various mathematical and real-world contexts, from comparing quantities to making informed decisions based on numerical values. The use of rounding to the nearest half simplifies the comparison process and provides a clear answer to the question of which fraction is greater.