To solve \( \frac{4}{5} + \frac{1}{6} \), we need to find a common denominator for the fractions.

1. The denominators are 5 and 6.
2. The least common denominator (LCD) is 30.
3. Convert each fraction:
   \[
   \frac{4}{5} = \frac{4 \times 6}{5 \times 6} = \frac{24}{30}
   \]
   \[
   \frac{1}{6} = \frac{1 \times 5}{6 \times 5} = \frac{5}{30}
   \]
4. Now add the fractions:
   \[
   \frac{24}{30} + \frac{5}{30} = \frac{29}{30}
   \]

So, \( \frac{4}{5} + \frac{1}{6} = \frac{29}{30} \).

Would you like more details on any step or have any questions?

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Here are 8 related questions to explore:

1. How do you find the least common denominator of two fractions?
2. How can you add fractions with different denominators?
3. What is the process of simplifying fractions after addition?
4. How do you subtract fractions with unlike denominators?
5. What is the method to multiply two fractions?
6. How do you divide fractions by a whole number?
7. Can you convert a mixed number to an improper fraction?
8. How do you convert an improper fraction to a decimal?

**Tip:** Always check if fractions can be simplified after performing any operation (addition, subtraction, multiplication, or division).

Learn how to add fractions 4/5 and 1/6 using a common denominator approach. Step-by-step solution provided with detailed conversions and addition process. Suitable for Grades 5-7.

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