https://file.aiquickdraw.com/mathbot/file/1725801382683yb1bocqa.jpg

I have opened the image, and it includes five fraction problems that require addition, regrouping, and simplification to the lowest terms.

Let's go through each question and solve them step by step.

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**1) \( \frac{5}{3} + 2 \frac{2}{3} \):**

Convert the mixed fraction to improper:
- \( 2 \frac{2}{3} = \frac{8}{3} \)

Now, add:
- \( \frac{5}{3} + \frac{8}{3} = \frac{13}{3} \)

Since \( \frac{13}{3} \) is an improper fraction, convert it back:
- \( \frac{13}{3} = 4 \frac{1}{3} \)

**Answer: \( 4 \frac{1}{3} \)**

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**2) \( \frac{4}{10} + 2 \frac{3}{5} \):**

Convert \( 2 \frac{3}{5} \) to improper:
- \( 2 \frac{3}{5} = \frac{13}{5} \)

Find a common denominator (LCM of 10 and 5 is 10):
- \( \frac{13}{5} = \frac{26}{10} \)

Now, add:
- \( \frac{4}{10} + \frac{26}{10} = \frac{30}{10} \)

Simplify:
- \( \frac{30}{10} = 3 \)

**Answer: \( 3 \)**

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**3) \( 3 \frac{5}{6} + 1 \frac{2}{3} \):**

Convert both mixed numbers to improper:
- \( 3 \frac{5}{6} = \frac{23}{6} \)
- \( 1 \frac{2}{3} = \frac{5}{3} \)

Find a common denominator (LCM of 6 and 3 is 6):
- \( \frac{5}{3} = \frac{10}{6} \)

Now, add:
- \( \frac{23}{6} + \frac{10}{6} = \frac{33}{6} \)

Simplify:
- \( \frac{33}{6} = 5 \frac{1}{2} \)

**Answer: \( 5 \frac{1}{2} \)**

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**4) \( 6 \frac{8}{10} + \frac{7}{20} \):**

Convert \( 6 \frac{8}{10} \) to improper:
- \( 6 \frac{8}{10} = 6 \frac{4}{5} = \frac{34}{5} \)

Find a common denominator (LCM of 5 and 20 is 20):
- \( \frac{34}{5} = \frac{136}{20} \)

Now, add:
- \( \frac{136}{20} + \frac{7}{20} = \frac{143}{20} \)

Simplify:
- \( \frac{143}{20} = 7 \frac{3}{20} \)

**Answer: \( 7 \frac{3}{20} \)**

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**5) \( 2 \frac{3}{8} + 6 \frac{3}{4} \):**

Convert both mixed numbers to improper:
- \( 2 \frac{3}{8} = \frac{19}{8} \)
- \( 6 \frac{3}{4} = \frac{27}{4} \)

Find a common denominator (LCM of 8 and 4 is 8):
- \( \frac{27}{4} = \frac{54}{8} \)

Now, add:
- \( \frac{19}{8} + \frac{54}{8} = \frac{73}{8} \)

Simplify:
- \( \frac{73}{8} = 9 \frac{1}{8} \)

**Answer: \( 9 \frac{1}{8} \)**

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Let me know if you'd like further clarification on any of these problems, or if you have additional questions.

Here are 5 follow-up questions for practice:
1. Can you explain how to find the least common denominator between two fractions?
2. What is the process of converting an improper fraction to a mixed number?
3. How would you subtract fractions with different denominators?
4. Can you provide an example of multiplying two mixed numbers?
5. How do you simplify a fraction after adding or subtracting it?

**Tip:** Always ensure fractions are reduced to their lowest terms by dividing both the numerator and denominator by their greatest common factor (GCF).

Add, regroup, then reduce to the lowest terms: 1) 5/3 + 2 2/3 2) 4/10 + 2 3/5 3) 3 5/6 + 1 2/3 4) 6 8/10 + 7/20 5) 2 3/8 + 6 3/4

Learn how to add and simplify fractions and mixed numbers with these step-by-step solutions. This problem set includes key concepts such as finding the least common denominator, converting mixed numbers to improper fractions, and simplifying results. Suitable for students in Grades 5-7.

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