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To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction.
So, 3 2/5 ÷ 3/10 can be written as (17/5) ÷ (3/10).
Now, we can rewrite the division as multiplication by the reciprocal: (17/5) * (10/3).
Next, we can simplify the fractions: (17/5) * (10/3) = (17*10) / (5*3) = 170/15.
Finally, we can simplify the fraction: 170/15 = 34/3.
So, 3 2/5 ÷ 3/10 is equal to 34/3.