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To divide 6 by (3 1/5), we can first convert the mixed number (3 1/5) into an improper fraction.
To do this, we multiply the whole number 3 by the denominator 5, then add the numerator 1 to get the numerator of the improper fraction:
3 * 5 + 1 = 15 + 1 = 16
The denominator of the improper fraction remains the same: 5.
So, (3 1/5) can be written as the improper fraction 16/5.
Now, we can divide 6 by 16/5 using the rule of dividing fractions.
To divide fractions, we multiply the first fraction (6) by the reciprocal of the second fraction (16/5 flipped):
6 * (5/16) = 30/16.
The fraction 30/16 can be simplified to the mixed number 1 14/16, which reduces to 1 7/8.
Therefore, the quotient of 6 / (3 1/5) is 1 7/8.