Re: q\frac{\frac{2}{3}+\frac{5}{6}}{\frac{7}{12}}=
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21 Jul 2026, 04:00
Correct Answer: C
Distractor Explanations:
A is a trap: Multiplied the simplified numerator by the denominator without inverting it: \( \frac{3}{2} \times \frac{7}{12}=\frac{7}{8}\) .
B is a trap: Simplified the numerator \( \left(\frac{4}{6}+\frac{5}{6}=\frac{9}{6}=\frac{3}{2}\right)\) but forgot to perform the final division.
C is correct: \(\frac{9}{6} \div \frac{7}{12}=\frac{3}{2} \times \frac{12}{7}=\frac{36}{14}=\frac{18}{7}\) .
D is a trap: Inverted the calculation to divide the denominator by the numerator instead: \(\frac{7}{12} \times \frac{2}{3}=\frac{14}{36}=\frac{7}{18}\) , then flipped it incorrectly to \(\frac{7}{3}\) .
E is a trap: Cross-multiplied the initial numerators and denominators errantly.