Multiply the numerators of the fractions: \[ 10 \times 7 = 70 \]
Multiply the denominators of the fractions: \[ 3 \times 8 = 24 \]
Write the product as a fraction and simplify: \[ \frac{70}{24} = \frac{35}{12} \] (Divide numerator and denominator by 2 to simplify.)
\(\boxed{\frac{35}{12}}\)
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