https://file.aiquickdraw.com/mathbot/file/1725374130396s0h6f9wz.jpg

Let's solve the problems shown in the image.

### 6) \( \frac{3}{8} + \frac{1}{2} \)

To add these fractions, we need a common denominator. The least common denominator (LCD) for 8 and 2 is 8.

Convert \( \frac{1}{2} \) to have a denominator of 8:
\[
\frac{1}{2} = \frac{4}{8}
\]

Now add the fractions:
\[
\frac{3}{8} + \frac{4}{8} = \frac{7}{8}
\]

### 7) \( \frac{2}{3} + \frac{1}{5} \)

The LCD for 3 and 5 is 15.

Convert each fraction:
\[
\frac{2}{3} = \frac{10}{15}, \quad \frac{1}{5} = \frac{3}{15}
\]

Add the fractions:
\[
\frac{10}{15} + \frac{3}{15} = \frac{13}{15}
\]

### 8) \( \frac{2}{8} + \frac{1}{2} \)

The LCD for 8 and 2 is 8.

Convert \( \frac{1}{2} \) to have a denominator of 8:
\[
\frac{1}{2} = \frac{4}{8}
\]

Add the fractions:
\[
\frac{2}{8} + \frac{4}{8} = \frac{6}{8} = \frac{3}{4}
\]

### 9) \( \frac{3}{8} - \frac{2}{3} \)

The LCD for 8 and 3 is 24.

Convert each fraction:
\[
\frac{3}{8} = \frac{9}{24}, \quad \frac{2}{3} = \frac{16}{24}
\]

Subtract the fractions:
\[
\frac{9}{24} - \frac{16}{24} = -\frac{7}{24}
\]

### 10) \( \frac{3}{10} - \frac{2}{5} \)

The LCD for 10 and 5 is 10.

Convert \( \frac{2}{5} \) to have a denominator of 10:
\[
\frac{2}{5} = \frac{4}{10}
\]

Subtract the fractions:
\[
\frac{3}{10} - \frac{4}{10} = -\frac{1}{10}
\]

### Final Answers:
6) \( \frac{7}{8} \)  
7) \( \frac{13}{15} \)  
8) \( \frac{3}{4} \)  
9) \( -\frac{7}{24} \)  
10) \( -\frac{1}{10} \)

Would you like any details on these calculations, or do you have any questions?

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**Related Questions:**
1. How do you find the least common denominator of two fractions?
2. What is the difference between adding and subtracting fractions?
3. Can a fraction's numerator be larger than its denominator?
4. How do you convert an improper fraction to a mixed number?
5. What is the process of simplifying fractions?

**Tip:** Always simplify fractions to their lowest terms unless instructed otherwise.

Solve the following fraction addition and subtraction problems: 1) 3/8 + 1/2, 2) 2/3 + 1/5, 3) 2/8 + 1/2, 4) 3/8 - 2/3, 5) 3/10 - 2/5

Learn how to add and subtract fractions with different denominators through a set of practice problems. This guide covers finding common denominators and performing arithmetic operations on fractions, suitable for students in Grades 4-6.

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