To add the mixed numbers \( 2 \frac{1}{15} + 1 \frac{3}{5} \), follow these steps:

1. **Convert the mixed numbers into improper fractions:**

   - \( 2 \frac{1}{15} = \frac{31}{15} \)
   - \( 1 \frac{3}{5} = \frac{8}{5} \)

2. **Find a common denominator:**
   The least common denominator (LCD) between 15 and 5 is 15. So, we convert both fractions to have a denominator of 15.

   - \( \frac{8}{5} = \frac{24}{15} \) (by multiplying both numerator and denominator by 3)

3. **Add the fractions:**

   \[
   \frac{31}{15} + \frac{24}{15} = \frac{31 + 24}{15} = \frac{55}{15}
   \]

4. **Simplify the fraction:**

   \[
   \frac{55}{15} = \frac{11}{3}
   \]

5. **Convert back to a mixed number:**

   \[
   \frac{11}{3} = 3 \frac{2}{3}
   \]

So, \( 2 \frac{1}{15} + 1 \frac{3}{5} = 3 \frac{2}{3} \).

Would you like further explanation on any step?

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Here are 5 related questions you can try:
1. What is \( 3 \frac{4}{7} + 2 \frac{5}{14} \)?
2. How do you subtract \( 5 \frac{2}{9} - 2 \frac{4}{6} \)?
3. Can you solve \( 4 \frac{3}{8} + 2 \frac{5}{16} \)?
4. What is \( 1 \frac{2}{5} + 3 \frac{7}{10} \)?
5. How do you simplify \( 2 \frac{9}{12} + 1 \frac{11}{24} \)?

**Tip**: When adding or subtracting mixed numbers, always convert them to improper fractions first.

Learn how to add mixed numbers with fractions, such as 2 1/15 and 1 3/5. This step-by-step guide covers converting mixed numbers to improper fractions, finding the least common denominator (LCD), adding fractions, and simplifying the result. Suitable for Grades 5-7 students.

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