What is the quotient of 10 2/5÷2 1/4?
To finding the quotient of 10 2/5 ÷ 2 1/4, we can convert both mixed numbers to improper fractions.
10 2/5 can be rewritten as 52/5 (since 10 * 5 + 2 = 52).
2 1/4 can be rewritten as 9/4 (since 2 * 4 + 1 = 9).
Now, we can divide 52/5 by 9/4.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
52/5 ÷ 9/4 = 52/5 * 4/9
Now we can simplify the fraction.
52/5 * 4/9 = (52 * 4) / (5 * 9) = 208/45
Therefore, the quotient of 10 2/5 ÷ 2 1/4 is 208/45.