To add fractions, we need a common denominator. For \( \frac{2}{5} + \frac{1}{6} \), the least common denominator (LCD) between 5 and 6 is 30.

1. Convert both fractions to have a denominator of 30:
\[
\frac{2}{5} = \frac{2 \times 6}{5 \times 6} = \frac{12}{30}
\]
\[
\frac{1}{6} = \frac{1 \times 5}{6 \times 5} = \frac{5}{30}
\]

2. Now, add the two fractions:
\[
\frac{12}{30} + \frac{5}{30} = \frac{12 + 5}{30} = \frac{17}{30}
\]

So, \( \frac{2}{5} + \frac{1}{6} = \frac{17}{30} \).

Would you like more details or have any questions?

Here are five related questions:
1. How do you find the least common denominator of two fractions?
2. Can you add fractions with different denominators directly?
3. What happens if the sum of fractions results in an improper fraction?
4. How do you subtract fractions with different denominators?
5. How do you simplify fractions after addition?

**Tip:** When adding fractions, always look for the least common denominator to make calculations easier.

Learn how to add fractions with different denominators, like 2/5 + 1/6, using the least common denominator (LCD). This step-by-step guide explains the process of converting fractions and provides a clear solution. Ideal for Grades 5-7 students.

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