Adding Fractions Worksheets - Free Printable

Problem: Adding Fractions with Like Denominators

The task involves adding fractions where the denominators are the same (like denominators). When adding fractions with like denominators, you simply add the numerators and keep the denominator the same. After performing the addition, simplify the result if possible.

Let's solve each problem step by step.

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1) $\frac{5}{11} + \frac{4}{11}$

- Denominators are the same.
- Add the numerators: $5 + 4 = 9$.
- Result: $\frac{9}{11}$.

Answer: $\frac{9}{11}$

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2) $\frac{7}{15} + \frac{6}{15}$

- Denominators are the same.
- Add the numerators: $7 + 6 = 13$.
- Result: $\frac{13}{15}$.

Answer: $\frac{13}{15}$

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3) $\frac{12}{20} + \frac{5}{20}$

- Denominators are the same.
- Add the numerators: $12 + 5 = 17$.
- Result: $\frac{17}{20}$.

Answer: $\frac{17}{20}$

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4) $\frac{3}{5} + \frac{4}{5}$

- Denominators are the same.
- Add the numerators: $3 + 4 = 7$.
- Result: $\frac{7}{5}$ (which is an improper fraction).

Answer: $\frac{7}{5}$

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5) $\frac{12}{15} + \frac{9}{15}$

- Denominators are the same.
- Add the numerators: $12 + 9 = 21$.
- Simplify $\frac{21}{15}$: Divide both numerator and denominator by their greatest common divisor (GCD), which is 3.
- $\frac{21 \div 3}{15 \div 3} = \frac{7}{5}$.

Answer: $\frac{7}{5}$

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6) $\frac{5}{12} + \frac{11}{12}$

- Denominators are the same.
- Add the numerators: $5 + 11 = 16$.
- Simplify $\frac{16}{12}$: Divide both numerator and denominator by their GCD, which is 4.
- $\frac{16 \div 4}{12 \div 4} = \frac{4}{3}$.

Answer: $\frac{4}{3}$

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7) $\frac{14}{25} + \frac{12}{25}$

- Denominators are the same.
- Add the numerators: $14 + 12 = 26$.
- Result: $\frac{26}{25}$.

Answer: $\frac{26}{25}$

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8) $\frac{3}{10} + \frac{9}{10}$

- Denominators are the same.
- Add the numerators: $3 + 9 = 12$.
- Simplify $\frac{12}{10}$: Divide both numerator and denominator by their GCD, which is 2.
- $\frac{12 \div 2}{10 \div 2} = \frac{6}{5}$.

Answer: $\frac{6}{5}$

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9) $\frac{11}{12} + \frac{9}{12}$

- Denominators are the same.
- Add the numerators: $11 + 9 = 20$.
- Simplify $\frac{20}{12}$: Divide both numerator and denominator by their GCD, which is 4.
- $\frac{20 \div 4}{12 \div 4} = \frac{5}{3}$.

Answer: $\frac{5}{3}$

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10) $\frac{24}{50} + \frac{13}{50}$

- Denominators are the same.
- Add the numerators: $24 + 13 = 37$.
- Result: $\frac{37}{50}$.

Answer: $\frac{37}{50}$

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11) $\frac{21}{40} + \frac{13}{40}$

- Denominators are the same.
- Add the numerators: $21 + 13 = 34$.
- Simplify $\frac{34}{40}$: Divide both numerator and denominator by their GCD, which is 2.
- $\frac{34 \div 2}{40 \div 2} = \frac{17}{20}$.

Answer: $\frac{17}{20}$

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12) $\frac{16}{30} + \frac{15}{30}$

- Denominators are the same.
- Add the numerators: $16 + 15 = 31$.
- Result: $\frac{31}{30}$.

Answer: $\frac{31}{30}$

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13) $\frac{7}{9} + \frac{8}{9}$

- Denominators are the same.
- Add the numerators: $7 + 8 = 15$.
- Simplify $\frac{15}{9}$: Divide both numerator and denominator by their GCD, which is 3.
- $\frac{15 \div 3}{9 \div 3} = \frac{5}{3}$.

Answer: $\frac{5}{3}$

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14) $\frac{7}{4} + \frac{3}{4}$

- Denominators are the same.
- Add the numerators: $7 + 3 = 10$.
- Simplify $\frac{10}{4}$: Divide both numerator and denominator by their GCD, which is 2.
- $\frac{10 \div 2}{4 \div 2} = \frac{5}{2}$.

Answer: $\frac{5}{2}$

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15) $\frac{10}{3} + \frac{7}{3}$

- Denominators are the same.
- Add the numerators: $10 + 7 = 17$.
- Result: $\frac{17}{3}$.

Answer: $\frac{17}{3}$

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16) $\frac{13}{16} + \frac{15}{16}$

- Denominators are the same.
- Add the numerators: $13 + 15 = 28$.
- Simplify $\frac{28}{16}$: Divide both numerator and denominator by their GCD, which is 4.
- $\frac{28 \div 4}{16 \div 4} = \frac{7}{4}$.

Answer: $\frac{7}{4}$

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17) $\frac{7}{8} + \frac{11}{8}$

- Denominators are the same.
- Add the numerators: $7 + 11 = 18$.
- Simplify $\frac{18}{8}$: Divide both numerator and denominator by their GCD, which is 2.
- $\frac{18 \div 2}{8 \div 2} = \frac{9}{4}$.

Answer: $\frac{9}{4}$

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18) $\frac{41}{100} + \frac{25}{100}$

- Denominators are the same.
- Add the numerators: $41 + 25 = 66$.
- Simplify $\frac{66}{100}$: Divide both numerator and denominator by their GCD, which is 2.
- $\frac{66 \div 2}{100 \div 2} = \frac{33}{50}$.

Answer: $\frac{33}{50}$

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19) $\frac{19}{50} + \frac{27}{50}$

- Denominators are the same.
- Add the numerators: $19 + 27 = 46$.
- Simplify $\frac{46}{50}$: Divide both numerator and denominator by their GCD, which is 2.
- $\frac{46 \div 2}{50 \div 2} = \frac{23}{25}$.

Answer: $\frac{23}{25}$

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20) $\frac{25}{36} + \frac{16}{36}$

- Denominators are the same.
- Add the numerators: $25 + 16 = 41$.
- Result: $\frac{41}{36}$.

Answer: $\frac{41}{36}$

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Circle the Answers That Are More Than One Whole

Fractions greater than one whole are improper fractions (where the numerator is greater than the denominator). From the solutions above, the answers that are more than one whole are:

- $\frac{7}{5}$
- $\frac{4}{3}$
- $\frac{26}{25}$
- $\frac{6}{5}$
- $\frac{5}{3}$
- $\frac{31}{30}$
- $\frac{5}{3}$
- $\frac{5}{2}$
- $\frac{17}{3}$
- $\frac{7}{4}$
- $\frac{9}{4}$
- $\frac{41}{36}$

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Final Answer:

\[
\boxed{\frac{7}{5}, \frac{4}{3}, \frac{26}{25}, \frac{6}{5}, \frac{5}{3}, \frac{31}{30}, \frac{5}{3}, \frac{5}{2}, \frac{17}{3}, \frac{7}{4}, \frac{9}{4}, \frac{41}{36}}
\]