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To solve \( \frac{3}{8} \times 1 \frac{5}{7} \), first convert the mixed number into an improper fraction. \( 1 \frac{5}{7} \) becomes \( \frac{7 \times 1 + 5}{7} = \frac{12}{7} \). Now, multiply the fractions: \( \frac{3}{8} \times \frac{12}{7} = \frac{3 \times 12}{8 \times 7} = \frac{36}{56} \). Next, simplify \( \frac{36}{56} \). Both the numerator and the denominator can be divided by 4. So, \( \frac{36 \div 4}{56 \div 4} = \frac{9}{14} \). Thus, \( \frac{3}{8} \times 1 \frac{5}{7} = \frac{9}{14} \). And there you have it! The answer is \( \frac{9}{14} \).