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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