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Answer
\[ \frac{1}{2} + \frac{1}{3} = \frac{5}{6} \]
Solution
To add the fractions \( \frac{1}{2} \) and \( \frac{1}{3} \), follow these steps:
1. **Find a Common Denominator:**
- The denominators are 2 and 3.
- The **Least Common Denominator (LCD)** for 2 and 3 is **6**.
2. **Convert Each Fraction to Have the LCD:**
- \( \frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6} \)
- \( \frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6} \)
3. **Add the Converted Fractions:**
- \( \frac{3}{6} + \frac{2}{6} = \frac{3 + 2}{6} = \frac{5}{6} \)
So,
\[ \frac{1}{2} + \frac{1}{3} = \frac{5}{6} \]
**Answer:** \( \frac{5}{6} \)
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Simplify this solution Bonus Knowledge
To add the fractions \( \frac{1}{2} \) and \( \frac{1}{3} \), first find a common denominator. The least common multiple of 2 and 3 is 6. So, we convert the fractions: \( \frac{1}{2} = \frac{3}{6} \) and \( \frac{1}{3} = \frac{2}{6} \). Adding these gives: \( \frac{3}{6} + \frac{2}{6} = \frac{5}{6} \). In everyday life, adding fractions comes in handy when cooking or baking. If a recipe calls for \( \frac{1}{2} \) cup of sugar and \( \frac{1}{3} \) cup of sugar, knowing how to combine these measurements lets you whip up delicious treats without any hassle. Happy baking!
