a) \( \frac{1}{3}+\frac{5}{6}= \)

To add \( \frac{1}{3} \) and \( \frac{5}{6} \), you need a common denominator. The least common multiple of 3 and 6 is 6. Convert \( \frac{1}{3} \) to sixths: \( \frac{1 \times 2}{3 \times 2} = \frac{2}{6} \). Now, add \( \frac{2}{6} + \frac{5}{6} = \frac{7}{6} \), which can also be expressed as \( 1 \frac{1}{6} \). Next time you're adding fractions, remember that finding a common denominator is key! It can save you from mixing up those fractions and lead you smoothly to the final result. Just think of it as tuning a guitar: you need all the strings (numerators) to work together under the same harmony (denominator)!