Sum
Use the distributivity of multiplication of rational numbers over their addition to simplify:
\[\frac{3}{5} \times \left( \frac{35}{24} + \frac{10}{1} \right)\]
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Solution
\[\frac{3}{5} \times (\frac{35}{24} + \frac{10}{1}) = \frac{3}{5} \times \frac{35}{24} + \frac{3}{5} \times \frac{10}{1} = \frac{7}{8} + \frac{6}{1} = \frac{7 + 48}{8} = \frac{55}{8}\]
Concept: Properties of Rational Numbers - Distributivity of Multiplication Over Addition for Rational
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