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To divide 3 7/9 by 1 1/5, you need to convert both mixed numbers to improper fractions.
3 7/9 can be written as (3 * 9 + 7)/9 = 34/9.
1 1/5 can be written as (1 * 5 + 1)/5 = 6/5.
Now, you can divide 34/9 by 6/5 by multiplying the first fraction by the reciprocal of the second fraction:
(34/9) * (5/6)
To simplify this, you can cancel out common factors:
(2 * 17)/(3 * 3) * (5/2 * 3)
Now, multiply the numerators together and the denominators together:
(2 * 17 * 5)/(3 * 3 * 2)
Simplify:
(170/18)
The final answer is:
170/18