7. \( 4 \frac{3}{12}-1 \frac{4}{12} \)
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To solve \( 4 \frac{3}{12}-1 \frac{4}{12} \), we can start by converting both mixed numbers into improper fractions. First, \( 4 \frac{3}{12} = \frac{4 \times 12 + 3}{12} = \frac{48 + 3}{12} = \frac{51}{12} \). Next, for \( 1 \frac{4}{12} = \frac{1 \times 12 + 4}{12} = \frac{12 + 4}{12} = \frac{16}{12} \). Now we calculate: \[ \frac{51}{12} - \frac{16}{12} = \frac{51 - 16}{12} = \frac{35}{12}. \] Converting \( \frac{35}{12} \) back to a mixed number gives us \( 2 \frac{11}{12} \). So, the final answer is \( 2 \frac{11}{12} \).