Add Subtract Multiply Divide Fractions - Randomly generated - Free Printable

The image you uploaded appears to be a worksheet titled "Add Subtract Multiply Divide Fractions," which involves basic arithmetic operations with fractions. The task is to solve each problem by performing the specified operation (addition, subtraction, multiplication, or division) on the given fractions.

Problem Breakdown:

Each row in the worksheet contains two fractions and an operation symbol (`+`, `-`, `×`, or `÷`). The goal is to compute the result of each operation.

General Steps for Solving:

1. Addition/Subtraction:
- Ensure the fractions have a common denominator.
- Add or subtract the numerators while keeping the denominator the same.
- Simplify the resulting fraction if possible.

2. Multiplication:
- Multiply the numerators together.
- Multiply the denominators together.
- Simplify the resulting fraction if possible.

3. Division:
- Invert the second fraction (find its reciprocal).
- Multiply the first fraction by the reciprocal of the second fraction.
- Simplify the resulting fraction if possible.

Solution to Each Problem:

#### 1. $ \frac{5}{7} + \frac{1}{7} $
- Both fractions have the same denominator.
- Add the numerators: $ 5 + 1 = 6 $.
- Result: $ \frac{6}{7} $.

#### 2. $ \frac{2}{3} - \frac{1}{3} $
- Both fractions have the same denominator.
- Subtract the numerators: $ 2 - 1 = 1 $.
- Result: $ \frac{1}{3} $.

#### 3. $ \frac{5}{8} \times \frac{2}{5} $
- Multiply the numerators: $ 5 \times 2 = 10 $.
- Multiply the denominators: $ 8 \times 5 = 40 $.
- Simplify $ \frac{10}{40} $: Divide both numerator and denominator by their greatest common divisor (GCD), which is 10.
- Result: $ \frac{1}{4} $.

#### 4. $ \frac{6}{7} \div \frac{2}{7} $
- Invert the second fraction: $ \frac{2}{7} \rightarrow \frac{7}{2} $.
- Multiply: $ \frac{6}{7} \times \frac{7}{2} = \frac{6 \times 7}{7 \times 2} = \frac{42}{14} $.
- Simplify $ \frac{42}{14} $: Divide both numerator and denominator by their GCD, which is 14.
- Result: $ 3 $.

#### 5. $ \frac{7}{9} + \frac{2}{9} $
- Both fractions have the same denominator.
- Add the numerators: $ 7 + 2 = 9 $.
- Result: $ \frac{9}{9} = 1 $.

#### 6. $ \frac{8}{11} - \frac{3}{11} $
- Both fractions have the same denominator.
- Subtract the numerators: $ 8 - 3 = 5 $.
- Result: $ \frac{5}{11} $.

#### 7. $ \frac{9}{10} \times \frac{5}{9} $
- Multiply the numerators: $ 9 \times 5 = 45 $.
- Multiply the denominators: $ 10 \times 9 = 90 $.
- Simplify $ \frac{45}{90} $: Divide both numerator and denominator by their GCD, which is 45.
- Result: $ \frac{1}{2} $.

#### 8. $ \frac{10}{13} \div \frac{5}{13} $
- Invert the second fraction: $ \frac{5}{13} \rightarrow \frac{13}{5} $.
- Multiply: $ \frac{10}{13} \times \frac{13}{5} = \frac{10 \times 13}{13 \times 5} = \frac{130}{65} $.
- Simplify $ \frac{130}{65} $: Divide both numerator and denominator by their GCD, which is 65.
- Result: $ 2 $.

#### 9. $ \frac{11}{12} + \frac{1}{12} $
- Both fractions have the same denominator.
- Add the numerators: $ 11 + 1 = 12 $.
- Result: $ \frac{12}{12} = 1 $.

#### 10. $ \frac{12}{13} - \frac{5}{13} $
- Both fractions have the same denominator.
- Subtract the numerators: $ 12 - 5 = 7 $.
- Result: $ \frac{7}{13} $.

#### 11. $ \frac{13}{15} \times \frac{5}{13} $
- Multiply the numerators: $ 13 \times 5 = 65 $.
- Multiply the denominators: $ 15 \times 13 = 195 $.
- Simplify $ \frac{65}{195} $: Divide both numerator and denominator by their GCD, which is 65.
- Result: $ \frac{1}{3} $.

#### 12. $ \frac{15}{17} \div \frac{5}{17} $
- Invert the second fraction: $ \frac{5}{17} \rightarrow \frac{17}{5} $.
- Multiply: $ \frac{15}{17} \times \frac{17}{5} = \frac{15 \times 17}{17 \times 5} = \frac{255}{85} $.
- Simplify $ \frac{255}{85} $: Divide both numerator and denominator by their GCD, which is 85.
- Result: $ 3 $.

#### 13. $ \frac{6}{7} \times \frac{7}{6} $
- Multiply the numerators: $ 6 \times 7 = 42 $.
- Multiply the denominators: $ 7 \times 6 = 42 $.
- Simplify $ \frac{42}{42} $: Divide both numerator and denominator by their GCD, which is 42.
- Result: $ 1 $.

#### 14. $ \frac{20}{23} \div \frac{5}{23} $
- Invert the second fraction: $ \frac{5}{23} \rightarrow \frac{23}{5} $.
- Multiply: $ \frac{20}{23} \times \frac{23}{5} = \frac{20 \times 23}{23 \times 5} = \frac{460}{115} $.
- Simplify $ \frac{460}{115} $: Divide both numerator and denominator by their GCD, which is 115.
- Result: $ 4 $.

Final Answers:

$$
\boxed{
\begin{aligned}
1. & \quad \frac{6}{7} \\
2. & \quad \frac{1}{3} \\
3. & \quad \frac{1}{4} \\
4. & \quad 3 \\
5. & \quad 1 \\
6. & \quad \frac{5}{11} \\
7. & \quad \frac{1}{2} \\
8. & \quad 2 \\
9. & \quad 1 \\
10. & \quad \frac{7}{13} \\
11. & \quad \frac{1}{3} \\
12. & \quad 3 \\
13. & \quad 1 \\
14. & \quad 4 \\
\end{aligned}
}
$$