what is the quotient of 5 3/5 divided by 2 1/4? simplify the answer , if possible.
To divide mixed numbers, we must first convert them into improper fractions.
Converting 5 3/5 into an improper fraction:
5 * 5 = 25
25 + 3 = 28
So, 5 3/5 is equal to 28/5.
Converting 2 1/4 into an improper fraction:
2 * 4 = 8
8 + 1 = 9
So, 2 1/4 is equal to 9/4.
Now, we can divide 28/5 by 9/4:
(28/5) / (9/4)
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
(28/5) * (4/9)
Multiplying the numerators (28 * 4) and the denominators (5 * 9):
112/45
Therefore, the quotient of 5 3/5 divided by 2 1/4 is 112/45.