What is the quotient of 5 3/5 ÷ 2 1/4 ? Simplify the answer, if possible.
To divide the mixed numbers, we need to convert them into improper fractions.
5 3/5 can be written as (5*5 + 3)/5 = 28/5.
2 1/4 can be written as (2*4 + 1)/4 = 9/4.
Now we can perform the division: (28/5) ÷ (9/4).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
(28/5) ÷ (9/4) = (28/5) * (4/9).
Simplifying, we have:
(28/5) * (4/9) = (28 * 4) / (5 * 9) = 112/45.
Therefore, the quotient of 5 3/5 ÷ 2 1/4 is 112/45.