To determine the fraction that represents the part of pencils that are mechanical, we need to simplify each of the given fractions and see if any of them represent the same value.
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3/9 simplifies to 1/3 (dividing both the numerator and denominator by 3).
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2/6 simplifies to 1/3 (dividing both numerator and denominator by 2).
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3/6 simplifies to 1/2 (dividing both the numerator and denominator by 3).
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1/6 is already in its simplest form.
From the fractions that we simplified, 3/9 and 2/6 both simplify to 1/3. The fractions 3/6 and 1/6 do not represent the fraction of pencils that are mechanical based on these simplifications.
If we assume that the number of mechanical pencils is 1/3 of all pencils, then either 3/9 or 2/6 can represent the fraction of pencils that are mechanical.
So, the fractions that represent the part of pencils that are mechanical are 3/9 or 2/6.
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