What is the quotient of 2 1/6÷1 1/3 ? Simplify the answer, if possible.(1 point)

Responses

1 5/8

8/13

2 8/9

9/26

1 answer

To find the quotient of 2 1/6 ÷ 1 1/3, first convert both mixed numbers to improper fractions.

2 1/6 = 13/6

1 1/3 = 4/3

Next, invert the second fraction and multiply:

(13/6) / (4/3) = (13/6) * (3/4)

Multiply the numerators: 13 * 3 = 39
Multiply the denominators: 6 * 4 = 24

The simplified answer is 39/24, which can be further simplified.

The greatest common divisor of 39 and 24 is 3.

Divide both the numerator and denominator by 3:

39/3 ÷ 24/3 = 13/8

Therefore, the quotient of 2 1/6 ÷ 1 1/3 is 13/8, which can also be written as the mixed number 1 5/8.

The correct answer is 1 5/8.