Solve this mixed fraction 2 1/2 + 3 3/4 =

To solve the mixed fraction addition \( 2 \frac{1}{2} + 3 \frac{3}{4} \), follow these steps:

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

   - \( 2 \frac{1}{2} \) becomes \( \frac{5}{2} \) 
   - \( 3 \frac{3}{4} \) becomes \( \frac{15}{4} \)

2. **Find a common denominator:**
   
   - The least common denominator (LCD) of 2 and 4 is 4.
   - Convert \( \frac{5}{2} \) to \( \frac{10}{4} \) by multiplying both numerator and denominator by 2.

3. **Add the fractions:**

   \[
   \frac{10}{4} + \frac{15}{4} = \frac{25}{4}
   \]

4. **Convert the improper fraction back to a mixed number:**

   - \( \frac{25}{4} = 6 \frac{1}{4} \) 

So, \( 2 \frac{1}{2} + 3 \frac{3}{4} = 6 \frac{1}{4} \).

Would you like more details or have any questions?

Here are some related questions:
1. How do you subtract mixed fractions?
2. What is the process for multiplying mixed fractions?
3. How can you convert an improper fraction to a decimal?
4. How do you simplify a mixed fraction?
5. How do you find the least common denominator of two fractions?

**Tip:** Always convert mixed numbers to improper fractions for easier calculations in addition and subtraction.

Learn how to add mixed fractions 2 1/2 + 3 3/4 with a detailed step-by-step solution. This problem covers key concepts such as converting mixed numbers to improper fractions, finding a common denominator, and adding fractions. Suitable for students in Grades 6-8.

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