To add \( \frac{3}{4} \) and \( \frac{1}{6} \), we first need a common denominator. The least common multiple of 4 and 6 is 12.

Now, convert each fraction:

1. \( \frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12} \)
2. \( \frac{1}{6} = \frac{1 \times 2}{6 \times 2} = \frac{2}{12} \)

Now, add the two fractions:

\[
\frac{9}{12} + \frac{2}{12} = \frac{11}{12}
\]

Thus, \( \frac{3}{4} + \frac{1}{6} = \frac{11}{12} \).

Would you like more details or have any questions? Here are some related questions to consider:

1. How do you find the least common multiple (LCM) of two numbers?
2. What would happen if the fractions had different numerators?
3. How can you simplify the fraction \( \frac{11}{12} \)?
4. Can you explain how to subtract fractions with different denominators?
5. What are some real-world applications of adding fractions?

**Tip:** Always convert fractions to a common denominator before adding or subtracting them.

Explore the step-by-step solution for adding the fractions 3/4 and 1/6. Learn how to find the least common multiple and convert fractions to a common denominator. This guide is perfect for students in Grades 5-7.

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