Final answer:
To find the difference between 2 2/5 and 1 1/5, you can subtract the fractions using a common denominator or convert the mixed numbers to improper fractions and subtract the fractions.
Step-by-step explanation:
To find the difference between 2 2/5 and 1 1/5, we can use the selections: 12/5 - 6/5, 2 2/5 - 1/5 - 1, or 2 - 2/5 - 1 - 1/5.
For the first selection, 12/5 - 6/5, we subtract the numerators and keep the common denominator: 12 - 6 = 6, so the answer is 6/5.
For the second selection, 2 2/5 - 1/5 - 1, we convert the mixed numbers to improper fractions: 2 2/5 = 12/5 and 1 = 5/5. Then, we subtract the fractions: 12/5 - 5/5 - 1 = 7/5 - 1 = 2/5. So the answer is 2/5.
For the third selection, 2 - 2/5 - 1 - 1/5, we convert the mixed numbers to improper fractions: 2 = 10/5, 1 = 5/5, and 1/5 = 1/5. Then, we subtract the fractions: 10/5 - 2/5 - 5/5 - 1/5 = 8/5 - 6/5 = 2/5. So the answer is 2/5.