What is the quotient of [10 2/5]÷[2 1/4] ?(1 point)
A. 4 28/45
B. 5/117
C. 23 2/5
D. 45/208
To find the quotient of two fractions, divide the numerator of the first fraction by the numerator of the second fraction and also divide the denominator of the first fraction by the denominator of the second fraction.
[10 2/5] ÷ [2 1/4] can be written as (10+2/5) ÷ (2+1/4)
10+2/5 = 52/5
2+1/4 = 9/4
Now, divide the fractions: (52/5) ÷ (9/4)
To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
(52/5) ÷ (9/4) = (52/5) * (4/9)
Cancel out any common factors.
(52/5) * (4/9) = (13/1) * (2/9)
Multiply the numerators and denominators.
(13/1) * (2/9) = 26/9
Therefore, the quotient of [10 2/5] ÷ [2 1/4] is 26/9, which can be written as a mixed number: 2 8/9.
So, the answer is (option A) 4 28/45.