Adding Fractions Worksheets - Free Printable
Educational worksheet: Adding Fractions Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: Adding Fractions Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Adding Fractions Worksheets
The image you uploaded appears to be a worksheet titled "AUDING FACTORS SHEET 3," which involves solving addition problems with fractions. Below, I will solve each problem step by step and explain the process.
---
$$
\frac{2}{7} + \frac{4}{7}
$$
- Step 1: The denominators are the same (both are 7), so we can directly add the numerators.
- Step 2: Add the numerators: \(2 + 4 = 6\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{2}{7} + \frac{4}{7} = \frac{6}{7}
$$
Answer:
$$
\boxed{\frac{6}{7}}
$$
---
$$
\frac{5}{8} + \frac{3}{8}
$$
- Step 1: The denominators are the same (both are 8), so we can directly add the numerators.
- Step 2: Add the numerators: \(5 + 3 = 8\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{5}{8} + \frac{3}{8} = \frac{8}{8}
$$
- Step 4: Simplify the fraction:
$$
\frac{8}{8} = 1
$$
Answer:
$$
\boxed{1}
$$
---
$$
\frac{3}{5} + \frac{2}{5}
$$
- Step 1: The denominators are the same (both are 5), so we can directly add the numerators.
- Step 2: Add the numerators: \(3 + 2 = 5\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{3}{5} + \frac{2}{5} = \frac{5}{5}
$$
- Step 4: Simplify the fraction:
$$
\frac{5}{5} = 1
$$
Answer:
$$
\boxed{1}
$$
---
$$
\frac{7}{9} + \frac{2}{9}
$$
- Step 1: The denominators are the same (both are 9), so we can directly add the numerators.
- Step 2: Add the numerators: \(7 + 2 = 9\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{7}{9} + \frac{2}{9} = \frac{9}{9}
$$
- Step 4: Simplify the fraction:
$$
\frac{9}{9} = 1
$$
Answer:
$$
\boxed{1}
$$
---
$$
\frac{4}{11} + \frac{7}{11}
$$
- Step 1: The denominators are the same (both are 11), so we can directly add the numerators.
- Step 2: Add the numerators: \(4 + 7 = 11\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{4}{11} + \frac{7}{11} = \frac{11}{11}
$$
- Step 4: Simplify the fraction:
$$
\frac{11}{11} = 1
$$
Answer:
$$
\boxed{1}
$$
---
$$
\frac{6}{13} + \frac{7}{13}
$$
- Step 1: The denominators are the same (both are 13), so we can directly add the numerators.
- Step 2: Add the numerators: \(6 + 7 = 13\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{6}{13} + \frac{7}{13} = \frac{13}{13}
$$
- Step 4: Simplify the fraction:
$$
\frac{13}{13} = 1
$$
Answer:
$$
\boxed{1}
$$
---
$$
\frac{5}{12} + \frac{7}{12}
$$
- Step 1: The denominators are the same (both are 12), so we can directly add the numerators.
- Step 2: Add the numerators: \(5 + 7 = 12\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{5}{12} + \frac{7}{12} = \frac{12}{12}
$$
- Step 4: Simplify the fraction:
$$
\frac{12}{12} = 1
$$
Answer:
$$
\boxed{1}
$$
---
$$
\frac{3}{10} + \frac{7}{10}
$$
- Step 1: The denominators are the same (both are 10), so we can directly add the numerators.
- Step 2: Add the numerators: \(3 + 7 = 10\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{3}{10} + \frac{7}{10} = \frac{10}{10}
$$
- Step 4: Simplify the fraction:
$$
\frac{10}{10} = 1
$$
Answer:
$$
\boxed{1}
$$
---
$$
\frac{2}{15} + \frac{13}{15}
$$
- Step 1: The denominators are the same (both are 15), so we can directly add the numerators.
- Step 2: Add the numerators: \(2 + 13 = 15\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{2}{15} + \frac{13}{15} = \frac{15}{15}
$$
- Step 4: Simplify the fraction:
$$
\frac{15}{15} = 1
$$
Answer:
$$
\boxed{1}
$$
---
$$
\frac{4}{17} + \frac{13}{17}
$$
- Step 1: The denominators are the same (both are 17), so we can directly add the numerators.
- Step 2: Add the numerators: \(4 + 13 = 17\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{4}{17} + \frac{13}{17} = \frac{17}{17}
$$
- Step 4: Simplify the fraction:
$$
\frac{17}{17} = 1
$$
Answer:
$$
\boxed{1}
$$
---
$$
\frac{5}{21} + \frac{16}{21}
$$
- Step 1: The denominators are the same (both are 21), so we can directly add the numerators.
- Step 2: Add the numerators: \(5 + 16 = 21\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{5}{21} + \frac{16}{21} = \frac{21}{21}
$$
- Step 4: Simplify the fraction:
$$
\frac{21}{21} = 1
$$
Answer:
$$
\boxed{1}
$$
---
$$
\frac{3}{25} + \frac{22}{25}
$$
- Step 1: The denominators are the same (both are 25), so we can directly add the numerators.
- Step 2: Add the numerators: \(3 + 22 = 25\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{3}{25} + \frac{22}{25} = \frac{25}{25}
$$
- Step 4: Simplify the fraction:
$$
\frac{25}{25} = 1
$$
Answer:
$$
\boxed{1}
$$
---
$$
\frac{7}{33} + \frac{26}{33}
$$
- Step 1: The denominators are the same (both are 33), so we can directly add the numerators.
- Step 2: Add the numerators: \(7 + 26 = 33\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{7}{33} + \frac{26}{33} = \frac{33}{33}
$$
- Step 4: Simplify the fraction:
$$
\frac{33}{33} = 1
$$
Answer:
$$
\boxed{1}
$$
---
$$
\frac{4}{37} + \frac{33}{37}
$$
- Step 1: The denominators are the same (both are 37), so we can directly add the numerators.
- Step 2: Add the numerators: \(4 + 33 = 37\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{4}{37} + \frac{33}{37} = \frac{37}{37}
$$
- Step 4: Simplify the fraction:
$$
\frac{37}{37} = 1
$$
Answer:
$$
\boxed{1}
$$
---
$$
\frac{6}{41} + \frac{35}{41}
$$
- Step 1: The denominators are the same (both are 41), so we can directly add the numerators.
- Step 2: Add the numerators: \(6 + 35 = 41\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{6}{41} + \frac{35}{41} = \frac{41}{41}
$$
- Step 4: Simplify the fraction:
$$
\frac{41}{41} = 1
$$
Answer:
$$
\boxed{1}
$$
---
$$
\boxed{1}
$$ for all problems where the denominators are the same and the sum of the numerators equals the denominator.
---
Problem 1:
$$
\frac{2}{7} + \frac{4}{7}
$$
- Step 1: The denominators are the same (both are 7), so we can directly add the numerators.
- Step 2: Add the numerators: \(2 + 4 = 6\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{2}{7} + \frac{4}{7} = \frac{6}{7}
$$
Answer:
$$
\boxed{\frac{6}{7}}
$$
---
Problem 2:
$$
\frac{5}{8} + \frac{3}{8}
$$
- Step 1: The denominators are the same (both are 8), so we can directly add the numerators.
- Step 2: Add the numerators: \(5 + 3 = 8\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{5}{8} + \frac{3}{8} = \frac{8}{8}
$$
- Step 4: Simplify the fraction:
$$
\frac{8}{8} = 1
$$
Answer:
$$
\boxed{1}
$$
---
Problem 3:
$$
\frac{3}{5} + \frac{2}{5}
$$
- Step 1: The denominators are the same (both are 5), so we can directly add the numerators.
- Step 2: Add the numerators: \(3 + 2 = 5\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{3}{5} + \frac{2}{5} = \frac{5}{5}
$$
- Step 4: Simplify the fraction:
$$
\frac{5}{5} = 1
$$
Answer:
$$
\boxed{1}
$$
---
Problem 4:
$$
\frac{7}{9} + \frac{2}{9}
$$
- Step 1: The denominators are the same (both are 9), so we can directly add the numerators.
- Step 2: Add the numerators: \(7 + 2 = 9\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{7}{9} + \frac{2}{9} = \frac{9}{9}
$$
- Step 4: Simplify the fraction:
$$
\frac{9}{9} = 1
$$
Answer:
$$
\boxed{1}
$$
---
Problem 5:
$$
\frac{4}{11} + \frac{7}{11}
$$
- Step 1: The denominators are the same (both are 11), so we can directly add the numerators.
- Step 2: Add the numerators: \(4 + 7 = 11\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{4}{11} + \frac{7}{11} = \frac{11}{11}
$$
- Step 4: Simplify the fraction:
$$
\frac{11}{11} = 1
$$
Answer:
$$
\boxed{1}
$$
---
Problem 6:
$$
\frac{6}{13} + \frac{7}{13}
$$
- Step 1: The denominators are the same (both are 13), so we can directly add the numerators.
- Step 2: Add the numerators: \(6 + 7 = 13\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{6}{13} + \frac{7}{13} = \frac{13}{13}
$$
- Step 4: Simplify the fraction:
$$
\frac{13}{13} = 1
$$
Answer:
$$
\boxed{1}
$$
---
Problem 7:
$$
\frac{5}{12} + \frac{7}{12}
$$
- Step 1: The denominators are the same (both are 12), so we can directly add the numerators.
- Step 2: Add the numerators: \(5 + 7 = 12\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{5}{12} + \frac{7}{12} = \frac{12}{12}
$$
- Step 4: Simplify the fraction:
$$
\frac{12}{12} = 1
$$
Answer:
$$
\boxed{1}
$$
---
Problem 8:
$$
\frac{3}{10} + \frac{7}{10}
$$
- Step 1: The denominators are the same (both are 10), so we can directly add the numerators.
- Step 2: Add the numerators: \(3 + 7 = 10\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{3}{10} + \frac{7}{10} = \frac{10}{10}
$$
- Step 4: Simplify the fraction:
$$
\frac{10}{10} = 1
$$
Answer:
$$
\boxed{1}
$$
---
Problem 9:
$$
\frac{2}{15} + \frac{13}{15}
$$
- Step 1: The denominators are the same (both are 15), so we can directly add the numerators.
- Step 2: Add the numerators: \(2 + 13 = 15\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{2}{15} + \frac{13}{15} = \frac{15}{15}
$$
- Step 4: Simplify the fraction:
$$
\frac{15}{15} = 1
$$
Answer:
$$
\boxed{1}
$$
---
Problem 10:
$$
\frac{4}{17} + \frac{13}{17}
$$
- Step 1: The denominators are the same (both are 17), so we can directly add the numerators.
- Step 2: Add the numerators: \(4 + 13 = 17\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{4}{17} + \frac{13}{17} = \frac{17}{17}
$$
- Step 4: Simplify the fraction:
$$
\frac{17}{17} = 1
$$
Answer:
$$
\boxed{1}
$$
---
Problem 11:
$$
\frac{5}{21} + \frac{16}{21}
$$
- Step 1: The denominators are the same (both are 21), so we can directly add the numerators.
- Step 2: Add the numerators: \(5 + 16 = 21\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{5}{21} + \frac{16}{21} = \frac{21}{21}
$$
- Step 4: Simplify the fraction:
$$
\frac{21}{21} = 1
$$
Answer:
$$
\boxed{1}
$$
---
Problem 12:
$$
\frac{3}{25} + \frac{22}{25}
$$
- Step 1: The denominators are the same (both are 25), so we can directly add the numerators.
- Step 2: Add the numerators: \(3 + 22 = 25\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{3}{25} + \frac{22}{25} = \frac{25}{25}
$$
- Step 4: Simplify the fraction:
$$
\frac{25}{25} = 1
$$
Answer:
$$
\boxed{1}
$$
---
Problem 13:
$$
\frac{7}{33} + \frac{26}{33}
$$
- Step 1: The denominators are the same (both are 33), so we can directly add the numerators.
- Step 2: Add the numerators: \(7 + 26 = 33\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{7}{33} + \frac{26}{33} = \frac{33}{33}
$$
- Step 4: Simplify the fraction:
$$
\frac{33}{33} = 1
$$
Answer:
$$
\boxed{1}
$$
---
Problem 14:
$$
\frac{4}{37} + \frac{33}{37}
$$
- Step 1: The denominators are the same (both are 37), so we can directly add the numerators.
- Step 2: Add the numerators: \(4 + 33 = 37\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{4}{37} + \frac{33}{37} = \frac{37}{37}
$$
- Step 4: Simplify the fraction:
$$
\frac{37}{37} = 1
$$
Answer:
$$
\boxed{1}
$$
---
Problem 15:
$$
\frac{6}{41} + \frac{35}{41}
$$
- Step 1: The denominators are the same (both are 41), so we can directly add the numerators.
- Step 2: Add the numerators: \(6 + 35 = 41\).
- Step 3: Write the result as a fraction with the same denominator:
$$
\frac{6}{41} + \frac{35}{41} = \frac{41}{41}
$$
- Step 4: Simplify the fraction:
$$
\frac{41}{41} = 1
$$
Answer:
$$
\boxed{1}
$$
---
Final Answer:
$$
\boxed{1}
$$ for all problems where the denominators are the same and the sum of the numerators equals the denominator.
Parent Tip: Review the logic above to help your child master the concept of adding fraction with unlike denominators worksheet.
