What is the quotient of 11 2/3÷2 1/3 ? Simplify the answer, if possible.(1 point)
Responses
9/245
5
1/5
27/29
To find the quotient, we first need to convert the mixed numbers to improper fractions.
11 2/3 can be rewritten as (11 * 3 + 2)/3 = 35/3
2 1/3 can be rewritten as (2 * 3 +1)/3 = 7/3
Now, we can divide 35/3 by 7/3:
(35/3)÷(7/3) = 35/3 * 3/7 = (35 * 3)/(3 * 7) = 105/21
This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 7:
105/21 = (7 * 15)/(7 * 3) = 15/3 = 5
Therefore, the quotient 11 2/3 ÷ 2 1/3 simplifies to 5.
The correct answer is 5.