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Convert the mixed number to an improper fraction, multiply the two fractions and convert any resulting improper fraction back to a proper fraction:

1 3/4 = (1×4+3)/4 = 7/4

→ 1/3 × 1 3/4 = 1/3 × 7/4 = (1×7)/(3×4) = 7/12.

One third of one and three quarter inches is seven twelfths of an inch.

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