What is the quotient of 3 7/9÷1 1/5 ? Simplify the answer, if possible.(1 point)

Responses

15/68

4 8/15

3 4/27

27/85

1 answer

To divide two mixed numbers, we first convert them into fractions.

3 7/9 = (9 * 3 + 7)/9 = 34/9
1 1/5 = (5 * 1 + 1)/5 = 6/5

Now, we can divide the fractions:

(34/9) ÷ (6/5) = (34/9) * (5/6) = (34 * 5)/(9 * 6) = 170/54

We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:

170/54 = (2 * 85)/(2 * 27) = 85/27

Therefore, the quotient is 85/27.