What is the quotient of 11 2/3÷2 1/3 ? Simplify the answer, if possible.(1 point)

Question

Responses

9/245

5

1/5

27/29

Answer 1

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.