QuestionJuly 16, 2025

(3)/(7)+3(1)/(2)cdot (2)/(3)

(3)/(7)+3(1)/(2)cdot (2)/(3)
(3)/(7)+3(1)/(2)cdot (2)/(3)

Solution
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Answer

\frac{58}{21} Explanation 1. Convert Mixed Number to Improper Fraction 3\frac{1}{2} = \frac{7}{2} 2. Multiply Fractions \frac{7}{2} \cdot \frac{2}{3} = \frac{7 \times 2}{2 \times 3} = \frac{14}{6} = \frac{7}{3} 3. Add Fractions \frac{3}{7} + \frac{7}{3} = \frac{3 \times 3 + 7 \times 7}{7 \times 3} = \frac{9 + 49}{21} = \frac{58}{21}

Explanation

1. Convert Mixed Number to Improper Fraction<br /> $3\frac{1}{2} = \frac{7}{2}$<br /><br />2. Multiply Fractions<br /> $\frac{7}{2} \cdot \frac{2}{3} = \frac{7 \times 2}{2 \times 3} = \frac{14}{6} = \frac{7}{3}$<br /><br />3. Add Fractions<br /> $\frac{3}{7} + \frac{7}{3} = \frac{3 \times 3 + 7 \times 7}{7 \times 3} = \frac{9 + 49}{21} = \frac{58}{21}$
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