Explanation:
To estimate the difference between 5 1/2 and 3 5/9, we can first round the fractions to the nearest whole number or simpler fractions. In this case, we can round 1/2 to 1/2 and 5/9 to 1/2 as well. Now, we have:
5 1/2 − 3 1/2
Subtracting the whole numbers, we get:
5−3=2
Subtracting the fractions, we get:
1/2 − 1/2 = 0
So, the estimated difference is 2, which falls between 2 and 2 1/2. Therefore, Elise chose option D as the correct answer.