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Simplify the expression $\dfrac{\pi}{2} + \dfrac{\pi}{3}$.

A$\dfrac{\pi}{5}$
B$\dfrac{2\pi}{5}$
C$\dfrac{5\pi}{6}$
D$\dfrac{\pi^{2}}{6}$
Answer & Solution
Correct answer: C. $\dfrac{5\pi}{6}$
Common denominator is $6$: $\dfrac{\pi}{2} = \dfrac{3\pi}{6}$, $\dfrac{\pi}{3} = \dfrac{2\pi}{6}$. Add: $\dfrac{3\pi}{6} + \dfrac{2\pi}{6} = \dfrac{5\pi}{6}$. - Trap A and B add denominators or numerators directly. - Trap D multiplies — but addition of fractions does not multiply numerators. The symbol $\pi$ behaves like any other constant under fraction arithmetic.
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