Adding fractions worksheet with multiple problems for math practice.

Problem: Adding Fractions

The task involves solving a series of fraction addition problems. Each problem requires adding fractions with the same denominator. Let's solve each problem step by step.

---

#### Left Column:

1. $\frac{3}{9} + \frac{2}{9} + \frac{1}{9}$
- Since the denominators are the same, add the numerators:
$$
\frac{3 + 2 + 1}{9} = \frac{6}{9}
$$
- Simplify $\frac{6}{9}$ by dividing both numerator and denominator by their greatest common divisor (GCD), which is 3:
$$
\frac{6 \div 3}{9 \div 3} = \frac{2}{3}
$$
- Answer: $\frac{2}{3}$

2. $\frac{1}{7} + \frac{2}{7} + \frac{2}{7}$
- Add the numerators:
$$
\frac{1 + 2 + 2}{7} = \frac{5}{7}
$$
- The fraction is already in simplest form.
- Answer: $\frac{5}{7}$

3. $\frac{1}{7} + \frac{2}{7} + \frac{3}{7}$
- Add the numerators:
$$
\frac{1 + 2 + 3}{7} = \frac{6}{7}
$$
- The fraction is already in simplest form.
- Answer: $\frac{6}{7}$

4. $\frac{1}{6} + \frac{2}{6} + \frac{2}{6}$
- Add the numerators:
$$
\frac{1 + 2 + 2}{6} = \frac{5}{6}
$$
- The fraction is already in simplest form.
- Answer: $\frac{5}{6}$

5. $\frac{1}{8} + \frac{3}{8} + \frac{2}{8}$
- Add the numerators:
$$
\frac{1 + 3 + 2}{8} = \frac{6}{8}
$$
- Simplify $\frac{6}{8}$ by dividing both numerator and denominator by their GCD, which is 2:
$$
\frac{6 \div 2}{8 \div 2} = \frac{3}{4}
$$
- Answer: $\frac{3}{4}$

6. $\frac{2}{7} + \frac{3}{7} + \frac{4}{7}$
- Add the numerators:
$$
\frac{2 + 3 + 4}{7} = \frac{9}{7}
$$
- The fraction is an improper fraction and is already in simplest form.
- Answer: $\frac{9}{7}$

7. $\frac{2}{7} + \frac{2}{7} + \frac{1}{7}$
- Add the numerators:
$$
\frac{2 + 2 + 1}{7} = \frac{5}{7}
$$
- The fraction is already in simplest form.
- Answer: $\frac{5}{7}$

8. $\frac{1}{9} + \frac{1}{9} + \frac{1}{9}$
- Add the numerators:
$$
\frac{1 + 1 + 1}{9} = \frac{3}{9}
$$
- Simplify $\frac{3}{9}$ by dividing both numerator and denominator by their GCD, which is 3:
$$
\frac{3 \div 3}{9 \div 3} = \frac{1}{3}
$$
- Answer: $\frac{1}{3}$

9. $\frac{1}{5} + \frac{1}{5} + \frac{3}{5}$
- Add the numerators:
$$
\frac{1 + 1 + 3}{5} = \frac{5}{5}
$$
- Simplify $\frac{5}{5}$:
$$
\frac{5}{5} = 1
$$
- Answer: $1$

10. $\frac{1}{4} + \frac{1}{4} + \frac{1}{4}$
- Add the numerators:
$$
\frac{1 + 1 + 1}{4} = \frac{3}{4}
$$
- The fraction is already in simplest form.
- Answer: $\frac{3}{4}$

---

#### Right Column:

1. $\frac{1}{5} + \frac{2}{5} + \frac{1}{5}$
- Add the numerators:
$$
\frac{1 + 2 + 1}{5} = \frac{4}{5}
$$
- The fraction is already in simplest form.
- Answer: $\frac{4}{5}$

2. $\frac{1}{9} + \frac{2}{9} + \frac{2}{9}$
- Add the numerators:
$$
\frac{1 + 2 + 2}{9} = \frac{5}{9}
$$
- The fraction is already in simplest form.
- Answer: $\frac{5}{9}$

3. $\frac{2}{6} + \frac{2}{6} + \frac{2}{6}$
- Add the numerators:
$$
\frac{2 + 2 + 2}{6} = \frac{6}{6}
$$
- Simplify $\frac{6}{6}$:
$$
\frac{6}{6} = 1
$$
- Answer: $1$

4. $\frac{1}{3} + \frac{1}{3} + \frac{1}{3}$
- Add the numerators:
$$
\frac{1 + 1 + 1}{3} = \frac{3}{3}
$$
- Simplify $\frac{3}{3}$:
$$
\frac{3}{3} = 1
$$
- Answer: $1$

5. $\frac{1}{5} + \frac{1}{5} + \frac{2}{5}$
- Add the numerators:
$$
\frac{1 + 1 + 2}{5} = \frac{4}{5}
$$
- The fraction is already in simplest form.
- Answer: $\frac{4}{5}$

6. $\frac{2}{9} + \frac{2}{9} + \frac{3}{9}$
- Add the numerators:
$$
\frac{2 + 2 + 3}{9} = \frac{7}{9}
$$
- The fraction is already in simplest form.
- Answer: $\frac{7}{9}$

7. $\frac{2}{9} + \frac{1}{9} + \frac{3}{9}$
- Add the numerators:
$$
\frac{2 + 1 + 3}{9} = \frac{6}{9}
$$
- Simplify $\frac{6}{9}$ by dividing both numerator and denominator by their GCD, which is 3:
$$
\frac{6 \div 3}{9 \div 3} = \frac{2}{3}
$$
- Answer: $\frac{2}{3}$

8. $\frac{1}{8} + \frac{3}{8} + \frac{4}{8}$
- Add the numerators:
$$
\frac{1 + 3 + 4}{8} = \frac{8}{8}
$$
- Simplify $\frac{8}{8}$:
$$
\frac{8}{8} = 1
$$
- Answer: $1$

9. $\frac{1}{6} + \frac{2}{6} + \frac{3}{6}$
- Add the numerators:
$$
\frac{1 + 2 + 3}{6} = \frac{6}{6}
$$
- Simplify $\frac{6}{6}$:
$$
\frac{6}{6} = 1
$$
- Answer: $1$

10. $\frac{1}{8} + \frac{2}{8} + \frac{4}{8}$
- Add the numerators:
$$
\frac{1 + 2 + 4}{8} = \frac{7}{8}
$$
- The fraction is already in simplest form.
- Answer: $\frac{7}{8}$

---

Final Answers:

$$
\boxed{
\begin{array}{ll}
\text{Left Column:} & \text{Right Column:} \\
\frac{2}{3} & \frac{4}{5} \\
\frac{5}{7} & \frac{5}{9} \\
\frac{6}{7} & 1 \\
\frac{5}{6} & 1 \\
\frac{3}{4} & \frac{4}{5} \\
\frac{9}{7} & \frac{7}{9} \\
\frac{5}{7} & \frac{2}{3} \\
\frac{1}{3} & 1 \\
1 & 1 \\
\frac{3}{4} & \frac{7}{8} \\
\end{array}
}
$$