- \( \frac{1}{5}+\frac{2}{3}= \)

To solve \( \frac{1}{5} + \frac{2}{3} \), you need to find a common denominator. The least common multiple of 5 and 3 is 15. Convert each fraction: \( \frac{1}{5} \) becomes \( \frac{3}{15} \) and \( \frac{2}{3} \) becomes \( \frac{10}{15} \). Now, add them together: \( \frac{3}{15} + \frac{10}{15} = \frac{13}{15} \). This addition of fractions can be easily applied in everyday scenarios, whether you're dividing a pizza or measuring ingredients for a recipe. Knowing how to combine fractions seamlessly helps in cooking, budgeting, or even when enjoying a game of chance. Just think of it as teaming up two friends to create something bigger and better! Common mistakes when adding fractions often include skipping the step of finding a common denominator or adding the numerators directly without adjusting for the denominators. Always remember: it’s crucial to have fractions singing the same tune before you bring them together!