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To solve the given problem \( \frac{4}{3} + \frac{16}{10} \) and express the result as a mixed number fraction, follow these steps:

### Step 1: Find a common denominator
The denominators are 3 and 10. The least common denominator (LCD) between them is 30.

Now, convert both fractions to have the denominator of 30:
- \( \frac{4}{3} = \frac{4 \times 10}{3 \times 10} = \frac{40}{30} \)
- \( \frac{16}{10} = \frac{16 \times 3}{10 \times 3} = \frac{48}{30} \)

### Step 2: Add the fractions
Now that both fractions have the same denominator, add the numerators:
\[
\frac{40}{30} + \frac{48}{30} = \frac{40 + 48}{30} = \frac{88}{30}
\]

### Step 3: Simplify the fraction
Simplify \( \frac{88}{30} \) by finding the greatest common divisor (GCD) of 88 and 30, which is 2. Divide both the numerator and denominator by 2:
\[
\frac{88}{30} = \frac{88 \div 2}{30 \div 2} = \frac{44}{15}
\]

### Step 4: Convert to a mixed number
Now, convert \( \frac{44}{15} \) to a mixed number by dividing 44 by 15:
\[
44 \div 15 = 2 \text{ remainder } 14
\]
So, \( \frac{44}{15} = 2 \frac{14}{15} \).

Thus, the final answer is:
\[
2 \frac{14}{15}
\]

Would you like more details or have any questions?

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Here are 5 related questions to extend your learning:
1. How do you find the least common denominator (LCD) between two fractions?
2. How do you convert an improper fraction into a mixed number?
3. What are the steps to simplify a fraction?
4. Why is it necessary to find a common denominator when adding fractions?
5. How can you check if a fraction is in its simplest form?

### Tip: 
Always simplify fractions as much as possible before converting them to mixed numbers to make calculations easier.

4/3 + 16/10. Write the answer as a mixed number fraction (if possible). Reduce if possible.

Learn how to add fractions 4/3 and 16/10 step-by-step, find the least common denominator, and express the result as a mixed number fraction in simplest form. Suitable for students in Grades 5-7.

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