To solve \( 6 - 4 \frac{3}{8} \), we first convert the mixed number \( 4 \frac{3}{8} \) into an improper fraction.
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Convert \( 4 \frac{3}{8} \) to an improper fraction: \[ 4 \frac{3}{8} = 4 \times 8 + 3 = 32 + 3 = 35 \] Therefore, \( 4 \frac{3}{8} = \frac{35}{8} \).
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Convert \( 6 \) into a fraction with the same denominator: \[ 6 = \frac{6 \times 8}{8} = \frac{48}{8} \]
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Now subtract the two fractions: \[ \frac{48}{8} - \frac{35}{8} = \frac{48 - 35}{8} = \frac{13}{8} \]
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Convert \( \frac{13}{8} \) back to a mixed number: \[ \frac{13}{8} = 1 \frac{5}{8} \]
Therefore, \( 6 - 4 \frac{3}{8} = 1 \frac{5}{8} \).