Divide 2 3/4 divided by 2/5. Simplify the answer and write it as a mixed number.
To divide 2 3/4 by 2/5, we first convert the mixed number into an improper fraction.
2 3/4 = 11/4
Now, divide 11/4 by 2/5:
(11/4) ÷ (2/5) = (11/4) * (5/2)
= 55/8
To simplify the answer, we rewrite 55/8 as a mixed number:
55 ÷ 8 = 6 with a remainder of 7
So, 55/8 = 6 7/8
Therefore, 2 3/4 ÷ 2/5 = 6 7/8.