Final answer:
The rational number halfway between 1/5 and 1/6 is 11/60, calculated by averaging the two fractions after finding a common denominator.
Step-by-step explanation:
To find the rational number exactly halfway between 1/5 and 1/6, you need to calculate their average. To do so, add the two fractions together and then divide the result by 2.
First, find a common denominator for the two fractions, which is 30 in this case. So, rewrite the fractions as equivalent fractions with the common denominator:
1/5 = 6/30
1/6 = 5/30
Now, add them together:
6/30 + 5/30 = 11/30
Finally, divide the sum by 2 to find the midpoint:
11/30 ÷ 2 = 11/60
Thus, the rational number halfway between 1/5 and 1/6 is 11/60.