https://file.aiquickdraw.com/mathbot/file/1727316770561ac4xkx4o.jpg

Let's break down the problems step by step from the image you uploaded:

### Problem 3:
\[ 4 - \frac{8}{5} + \frac{4}{5} \]
To solve:
- First, subtract \(\frac{8}{5}\) from 4. Convert 4 to a fraction: \(\frac{20}{5} - \frac{8}{5} = \frac{12}{5}\).
- Now, add \(\frac{4}{5}\): 
\[
\frac{12}{5} + \frac{4}{5} = \frac{16}{5}
\]
Thus, the answer is \( \frac{16}{5} \) or \( 3 \frac{1}{5} \).

### Problem 4:
\[ 5 - 4 + \frac{4}{3} + 2 \]
To solve:
- First, simplify the integers: \(5 - 4 + 2 = 3\).
- Now, add \(\frac{4}{3}\) to 3. Convert 3 to a fraction: \(\frac{9}{3} + \frac{4}{3} = \frac{13}{3}\).
Thus, the answer is \( \frac{13}{3} \) or \( 4 \frac{1}{3} \).

### Problem 5:
\[ 42 \div 7 + \frac{1}{5} \]
To solve:
- First, divide 42 by 7: \(42 \div 7 = 6\).
- Now, add \(\frac{1}{5}\) to 6: \(6 + \frac{1}{5} = \frac{30}{5} + \frac{1}{5} = \frac{31}{5}\).
Thus, the answer is \( \frac{31}{5} \) or \( 6 \frac{1}{5} \).

### Problem 6:
\[ 2 - \frac{2}{9} \times 7 \]
To solve:
- First, multiply \(\frac{2}{9}\) by 7: \(\frac{2}{9} \times 7 = \frac{14}{9}\).
- Now, subtract \(\frac{14}{9}\) from 2. Convert 2 to a fraction: \(\frac{18}{9} - \frac{14}{9} = \frac{4}{9}\).
Thus, the answer is \( \frac{4}{9} \).

### Problem 7:
\[ 4 + \frac{2}{3} - 3 + \frac{1}{2} \]
To solve:
- First, simplify the integers: \(4 - 3 = 1\).
- Now, add the fractions: 
\[
1 + \frac{2}{3} + \frac{1}{2}.
\]
Find a common denominator for \(\frac{2}{3}\) and \(\frac{1}{2}\), which is 6:
\[
\frac{2}{3} = \frac{4}{6}, \quad \frac{1}{2} = \frac{3}{6}.
\]
Now, add:
\[
\frac{4}{6} + \frac{3}{6} = \frac{7}{6}.
\]
Thus, \(1 + \frac{7}{6} = \frac{13}{6}\) or \(2 \frac{1}{6}\).

### Problem 8:
\[ 6 \div \frac{3}{5} - \frac{2}{5} \times 4 \]
To solve:
- First, divide 6 by \(\frac{3}{5}\). Dividing by a fraction is equivalent to multiplying by the reciprocal: 
\[
6 \div \frac{3}{5} = 6 \times \frac{5}{3} = \frac{30}{3} = 10.
\]
- Now, multiply \(\frac{2}{5} \times 4 = \frac{8}{5}\).
- Finally, subtract: \(10 - \frac{8}{5} = \frac{50}{5} - \frac{8}{5} = \frac{42}{5}\).
Thus, the answer is \( \frac{42}{5} \) or \( 8 \frac{2}{5} \).

### Problem 9:
\[ 3 + 4 \div \frac{1}{8} \]
To solve:
- First, divide 4 by \(\frac{1}{8}\). Dividing by \(\frac{1}{8}\) is the same as multiplying by 8:
\[
4 \div \frac{1}{8} = 4 \times 8 = 32.
\]
- Now, add: \(3 + 32 = 35\).
Thus, the answer is 35.

### Problem 10:
\[ 8 \times 3 - \frac{7}{2} \]
To solve:
- First, multiply 8 by 3: \(8 \times 3 = 24\).
- Now, subtract \(\frac{7}{2}\) from 24. Convert 24 to a fraction: 
\[
\frac{48}{2} - \frac{7}{2} = \frac{41}{2}.
\]
Thus, the answer is \( \frac{41}{2} \) or \( 20 \frac{1}{2} \).

Would you like any further details on any of these steps?

Here are 5 related questions for practice:
1. Simplify \( 7 - \frac{5}{3} + 3 \).
2. Solve \( 9 \div \frac{3}{4} - 2 \times \frac{1}{3} \).
3. What is \( 2 + \frac{5}{6} - \frac{1}{4} \)?
4. Calculate \( 6 \times \frac{4}{7} + 1 \).
5. Solve \( 5 - \frac{9}{5} + 2 \).

**Tip:** Always convert whole numbers to fractions when adding or subtracting fractions. This makes the process easier!

3) 4 - 8/5 + 4/5, 4) 5 - 4 + 4/3 + 2, 5) 42 ÷ 7 + 1/5, 6) 2 - 2/9 × 7, 7) 4 + 2/3 - 3 + 1/2, 8) 6 ÷ 3/5 - 2/5 × 4, 9) 3 + 4 ÷ 1/8, 10) 8 × 3 - 7/2

This page covers various problems involving arithmetic operations with fractions and mixed numbers. Problems include subtraction, multiplication, and division of fractions with step-by-step solutions, suitable for Grades 6-8 students.

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