Divide: $\dfrac{17}{8} \div \dfrac{3}{5}$.
A$\dfrac{51}{40}$
B$\dfrac{24}{85}$
C$\dfrac{20}{15}$
D$\dfrac{85}{24}$
Answer & Solution
Correct answer: D. $\dfrac{85}{24}$
Dividing by a fraction = multiplying by its reciprocal.
$\dfrac{17}{8} \div \dfrac{3}{5} = \dfrac{17}{8} \cdot \dfrac{5}{3} = \dfrac{17 \cdot 5}{8 \cdot 3} = \dfrac{85}{24}$.
- Trap C inverts the result (didn't take the reciprocal).
- Trap A miscomputes the product.
- Trap D applies cross-cancellation incorrectly.
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