What is the quotient of 5 3/5÷2 1/4 ? Simplify the answer, if possible.(1 point)

Answer 1

To solve this problem, we can convert both mixed numbers to improper fractions.

The fraction 5 3/5 can be written as an improper fraction:

5 3/5 = (5 * 5 + 3)/5 = 28/5

The fraction 2 1/4 can also be written as an improper fraction:

2 1/4 = (2 * 4 + 1)/4 = 9/4

Now, we can divide the two fractions:

(28/5) ÷ (9/4) = (28/5) * (4/9) = (28*4)/(5*9) = 112/45

The simplified form of 112/45 is:

112/45 = 2 22/45

Therefore, the quotient of 5 3/5 ÷ 2 1/4 is 2 22/45.