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To divide 6 by 3 1/5, we need to convert the mixed number 3 1/5 to an improper fraction. To do this, we multiply the whole number (3) by the denominator (5) and add the numerator (1). 3 multiplied by 5 is 15, and when we add 1, we get 16.
So, 3 1/5 as an improper fraction is 16/5.
Now we can divide 6 by 16/5. To divide by a fraction, we can multiply by its reciprocal. The reciprocal of 16/5 is 5/16.
When we multiply 6 by 5/16, we get (6*5)/(1*16) = 30/16.
Therefore, the quotient of 6 divided by 3 1/5 is 30/16.