Adding Fractions Problems with Same Denominator - Free Printable

Problem: Fraction Addition Worksheet

The task is to solve the given fraction addition problems. Let's go through each problem step by step.

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#### 1. $\frac{6}{4} + \frac{3}{4}$

- Step 1: Both fractions have the same denominator (4), so we can add the numerators directly.
$$
\frac{6}{4} + \frac{3}{4} = \frac{6 + 3}{4} = \frac{9}{4}
$$

- Step 2: Simplify if possible. Here, $\frac{9}{4}$ is already in its simplest form, but it can be expressed as a mixed number:
$$
\frac{9}{4} = 2 \frac{1}{4}
$$

- Final Answer: $\frac{9}{4}$ or $2 \frac{1}{4}$

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#### 2. $\frac{4}{6} + \frac{7}{6}$

- Step 1: Both fractions have the same denominator (6), so we can add the numerators directly.
$$
\frac{4}{6} + \frac{7}{6} = \frac{4 + 7}{6} = \frac{11}{6}
$$

- Step 2: Simplify if possible. Here, $\frac{11}{6}$ is already in its simplest form, but it can be expressed as a mixed number:
$$
\frac{11}{6} = 1 \frac{5}{6}
$$

- Final Answer: $\frac{11}{6}$ or $1 \frac{5}{6}$

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#### 3. $\frac{7}{8} + \frac{3}{8}$

- Step 1: Both fractions have the same denominator (8), so we can add the numerators directly.
$$
\frac{7}{8} + \frac{3}{8} = \frac{7 + 3}{8} = \frac{10}{8}
$$

- Step 2: Simplify the fraction. The greatest common divisor (GCD) of 10 and 8 is 2:
$$
\frac{10}{8} = \frac{10 \div 2}{8 \div 2} = \frac{5}{4}
$$

- Step 3: Express as a mixed number:
$$
\frac{5}{4} = 1 \frac{1}{4}
$$

- Final Answer: $\frac{5}{4}$ or $1 \frac{1}{4}$

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#### 4. $\frac{7}{3} + \frac{3}{3}$

- Step 1: Both fractions have the same denominator (3), so we can add the numerators directly.
$$
\frac{7}{3} + \frac{3}{3} = \frac{7 + 3}{3} = \frac{10}{3}
$$

- Step 2: Simplify if possible. Here, $\frac{10}{3}$ is already in its simplest form, but it can be expressed as a mixed number:
$$
\frac{10}{3} = 3 \frac{1}{3}
$$

- Final Answer: $\frac{10}{3}$ or $3 \frac{1}{3}$

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#### 5. $\frac{3}{1} + \frac{9}{1}$

- Step 1: Both fractions have the same denominator (1), so we can add the numerators directly.
$$
\frac{3}{1} + \frac{9}{1} = \frac{3 + 9}{1} = \frac{12}{1}
$$

- Step 2: Simplify if possible. Here, $\frac{12}{1} = 12$.

- Final Answer: $12$

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#### 6. $\frac{9}{9} + \frac{4}{9}$

- Step 1: Both fractions have the same denominator (9), so we can add the numerators directly.
$$
\frac{9}{9} + \frac{4}{9} = \frac{9 + 4}{9} = \frac{13}{9}
$$

- Step 2: Simplify if possible. Here, $\frac{13}{9}$ is already in its simplest form, but it can be expressed as a mixed number:
$$
\frac{13}{9} = 1 \frac{4}{9}
$$

- Final Answer: $\frac{13}{9}$ or $1 \frac{4}{9}$

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Final Answers:

1. $\frac{6}{4} + \frac{3}{4} = \boxed{\frac{9}{4}}$ or $\boxed{2 \frac{1}{4}}$
2. $\frac{4}{6} + \frac{7}{6} = \boxed{\frac{11}{6}}$ or $\boxed{1 \frac{5}{6}}$
3. $\frac{7}{8} + \frac{3}{8} = \boxed{\frac{5}{4}}$ or $\boxed{1 \frac{1}{4}}$
4. $\frac{7}{3} + \frac{3}{3} = \boxed{\frac{10}{3}}$ or $\boxed{3 \frac{1}{3}}$
5. $\frac{3}{1} + \frac{9}{1} = \boxed{12}$
6. $\frac{9}{9} + \frac{4}{9} = \boxed{\frac{13}{9}}$ or $\boxed{1 \frac{4}{9}}$