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To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 1/3 is 3/1.
So, the division becomes: (1/16) * (3/1).
Multiplying the numerators gives us: 1 * 3 = 3.
Multiplying the denominators gives us: 16 * 1 = 16.
So, the simplified answer is 3/16.