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
To solve the problems on the "Adding Fractions Sheet 1," we need to add fractions by ensuring they have a common denominator. Let's go through each problem step by step.
---
$$
\frac{1}{3} + \frac{3}{6} = \frac{\_\_\_}{6} + \frac{3}{6} = \frac{\_\_\_}{6}
$$
1. Convert $\frac{1}{3}$ to a fraction with a denominator of 6:
$$
\frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6}
$$
2. Add the fractions:
$$
\frac{2}{6} + \frac{3}{6} = \frac{2 + 3}{6} = \frac{5}{6}
$$
Answer:
$$
\frac{2}{6} + \frac{3}{6} = \frac{5}{6}
$$
---
$$
\frac{1}{4} + \frac{4}{12} = \frac{\_\_\_}{12} + \frac{4}{12} = \frac{\_\_\_}{12}
$$
1. Convert $\frac{1}{4}$ to a fraction with a denominator of 12:
$$
\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}
$$
2. Add the fractions:
$$
\frac{3}{12} + \frac{4}{12} = \frac{3 + 4}{12} = \frac{7}{12}
$$
Answer:
$$
\frac{3}{12} + \frac{4}{12} = \frac{7}{12}
$$
---
$$
\frac{1}{5} + \frac{4}{15} = \frac{\_\_\_}{15} + \frac{4}{15} = \frac{\_\_\_}{15}
$$
1. Convert $\frac{1}{5}$ to a fraction with a denominator of 15:
$$
\frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15}
$$
2. Add the fractions:
$$
\frac{3}{15} + \frac{4}{15} = \frac{3 + 4}{15} = \frac{7}{15}
$$
Answer:
$$
\frac{3}{15} + \frac{4}{15} = \frac{7}{15}
$$
---
$$
\frac{1}{2} + \frac{3}{8} = \frac{\_\_\_}{8} + \frac{3}{8} = \frac{\_\_\_}{8}
$$
1. Convert $\frac{1}{2}$ to a fraction with a denominator of 8:
$$
\frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8}
$$
2. Add the fractions:
$$
\frac{4}{8} + \frac{3}{8} = \frac{4 + 3}{8} = \frac{7}{8}
$$
Answer:
$$
\frac{4}{8} + \frac{3}{8} = \frac{7}{8}
$$
---
$$
\frac{2}{7} + \frac{5}{14} = \frac{\_\_\_}{14} + \frac{5}{14} = \frac{\_\_\_}{14}
$$
1. Convert $\frac{2}{7}$ to a fraction with a denominator of 14:
$$
\frac{2}{7} = \frac{2 \times 2}{7 \times 2} = \frac{4}{14}
$$
2. Add the fractions:
$$
\frac{4}{14} + \frac{5}{14} = \frac{4 + 5}{14} = \frac{9}{14}
$$
Answer:
$$
\frac{4}{14} + \frac{5}{14} = \frac{9}{14}
$$
---
$$
\frac{1}{4} + \frac{5}{16} = \frac{\_\_\_}{16} + \frac{5}{16} = \frac{\_\_\_}{16}
$$
1. Convert $\frac{1}{4}$ to a fraction with a denominator of 16:
$$
\frac{1}{4} = \frac{1 \times 4}{4 \times 4} = \frac{4}{16}
$$
2. Add the fractions:
$$
\frac{4}{16} + \frac{5}{16} = \frac{4 + 5}{16} = \frac{9}{16}
$$
Answer:
$$
\frac{4}{16} + \frac{5}{16} = \frac{9}{16}
$$
---
$$
\frac{3}{5} + \frac{5}{20} = \frac{\_\_\_}{20} + \frac{5}{20} = \frac{\_\_\_}{20}
$$
1. Convert $\frac{3}{5}$ to a fraction with a denominator of 20:
$$
\frac{3}{5} = \frac{3 \times 4}{5 \times 4} = \frac{12}{20}
$$
2. Add the fractions:
$$
\frac{12}{20} + \frac{5}{20} = \frac{12 + 5}{20} = \frac{17}{20}
$$
Answer:
$$
\frac{12}{20} + \frac{5}{20} = \frac{17}{20}
$$
---
$$
\frac{1}{9} + \frac{3}{18} = \frac{\_\_\_}{18} + \frac{3}{18} = \frac{\_\_\_}{18}
$$
1. Convert $\frac{1}{9}$ to a fraction with a denominator of 18:
$$
\frac{1}{9} = \frac{1 \times 2}{9 \times 2} = \frac{2}{18}
$$
2. Add the fractions:
$$
\frac{2}{18} + \frac{3}{18} = \frac{2 + 3}{18} = \frac{5}{18}
$$
Answer:
$$
\frac{2}{18} + \frac{3}{18} = \frac{5}{18}
$$
---
$$
\frac{3}{16} + \frac{1}{8} = \frac{3}{16} + \frac{\_\_\_}{16} = \frac{\_\_\_}{16}
$$
1. Convert $\frac{1}{8}$ to a fraction with a denominator of 16:
$$
\frac{1}{8} = \frac{1 \times 2}{8 \times 2} = \frac{2}{16}
$$
2. Add the fractions:
$$
\frac{3}{16} + \frac{2}{16} = \frac{3 + 2}{16} = \frac{5}{16}
$$
Answer:
$$
\frac{3}{16} + \frac{2}{16} = \frac{5}{16}
$$
---
$$
\frac{1}{18} + \frac{2}{3} = \frac{1}{18} + \frac{\_\_\_}{18} = \frac{\_\_\_}{18}
$$
1. Convert $\frac{2}{3}$ to a fraction with a denominator of 18:
$$
\frac{2}{3} = \frac{2 \times 6}{3 \times 6} = \frac{12}{18}
$$
2. Add the fractions:
$$
\frac{1}{18} + \frac{12}{18} = \frac{1 + 12}{18} = \frac{13}{18}
$$
Answer:
$$
\frac{1}{18} + \frac{12}{18} = \frac{13}{18}
$$
---
$$
\frac{3}{25} + \frac{2}{5} = \frac{3}{25} + \frac{\_\_\_}{25} = \frac{\_\_\_}{25}
$$
1. Convert $\frac{2}{5}$ to a fraction with a denominator of 25:
$$
\frac{2}{5} = \frac{2 \times 5}{5 \times 5} = \frac{10}{25}
$$
2. Add the fractions:
$$
\frac{3}{25} + \frac{10}{25} = \frac{3 + 10}{25} = \frac{13}{25}
$$
Answer:
$$
\frac{3}{25} + \frac{10}{25} = \frac{13}{25}
$$
---
$$
\frac{8}{21} + \frac{3}{7} = \frac{8}{21} + \frac{\_\_\_}{21} = \frac{\_\_\_}{21}
$$
1. Convert $\frac{3}{7}$ to a fraction with a denominator of 21:
$$
\frac{3}{7} = \frac{3 \times 3}{7 \times 3} = \frac{9}{21}
$$
2. Add the fractions:
$$
\frac{8}{21} + \frac{9}{21} = \frac{8 + 9}{21} = \frac{17}{21}
$$
Answer:
$$
\frac{8}{21} + \frac{9}{21} = \frac{17}{21}
$$
---
$$
\frac{4}{30} + \frac{3}{10} = \_\_\_ + \_\_\_ = \_\_\_
$$
1. Convert $\frac{3}{10}$ to a fraction with a denominator of 30:
$$
\frac{3}{10} = \frac{3 \times 3}{10 \times 3} = \frac{9}{30}
$$
2. Add the fractions:
$$
\frac{4}{30} + \frac{9}{30} = \frac{4 + 9}{30} = \frac{13}{30}
$$
Answer:
$$
\frac{4}{30} + \frac{9}{30} = \frac{13}{30}
$$
---
$$
\frac{7}{36} + \frac{4}{9} = \_\_\_ + \_\_\_ = \_\_\_
$$
1. Convert $\frac{4}{9}$ to a fraction with a denominator of 36:
$$
\frac{4}{9} = \frac{4 \times 4}{9 \times 4} = \frac{16}{36}
$$
2. Add the fractions:
$$
\frac{7}{36} + \frac{16}{36} = \frac{7 + 16}{36} = \frac{23}{36}
$$
Answer:
$$
\frac{7}{36} + \frac{16}{36} = \frac{23}{36}
$$
---
$$
\frac{6}{28} + \frac{3}{4} = \_\_\_ + \_\_\_ = \_\_\_
$$
1. Simplify $\frac{6}{28}$:
$$
\frac{6}{28} = \frac{3}{14}
$$
2. Convert $\frac{3}{4}$ to a fraction with a denominator of 14:
$$
\frac{3}{4} = \frac{3 \times 7}{4 \times 7} = \frac{21}{28}
$$
3. Add the fractions:
$$
\frac{3}{14} + \frac{21}{28} = \frac{6}{28} + \frac{21}{28} = \frac{6 + 21}{28} = \frac{27}{28}
$$
Answer:
$$
\frac{6}{28} + \frac{21}{28} = \frac{27}{28}
$$
---
$$
\frac{12}{35} + \frac{4}{7} = \_\_\_ + \_\_\_ = \_\_\_
$$
1. Convert $\frac{4}{7}$ to a fraction with a denominator of 35:
$$
\frac{4}{7} = \frac{4 \times 5}{7 \times 5} = \frac{20}{35}
$$
2. Add the fractions:
$$
\frac{12}{35} + \frac{20}{35} = \frac{12 + 20}{35} = \frac{32}{35}
$$
Answer:
$$
\frac{12}{35} + \frac{20}{35} = \frac{32}{35}
$$
---
$$
\frac{2}{5} + \frac{8}{25} = \_\_\_ + \_\_\_ = \_\_\_
$$
1. Convert $\frac{2}{5}$ to a fraction with a denominator of 25:
$$
\frac{2}{5} = \frac{2 \times 5}{5 \times 5} = \frac{10}{25}
$$
2. Add the fractions:
$$
\frac{10}{25} + \frac{8}{25} = \frac{10 + 8}{25} = \frac{18}{25}
$$
Answer:
$$
\frac{10}{25} + \frac{8}{25} = \frac{18}{25}
$$
---
$$
\frac{7}{24} + \frac{2}{3} = \_\_\_ + \_\_\_ = \_\_\_
$$
1. Convert $\frac{2}{3}$ to a fraction with a denominator of 24:
$$
\frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24}
$$
2. Add the fractions:
$$
\frac{7}{24} + \frac{16}{24} = \frac{7 + 16}{24} = \frac{23}{24}
$$
Answer:
$$
\frac{7}{24} + \frac{16}{24} = \frac{23}{24}
$$
---
The largest fraction sum is:
$$
\boxed{\frac{27}{28}}
$$
This is the result of Problem 15: $\frac{6}{28} + \frac{3}{4} = \frac{27}{28}$.
---
Problem 1:
$$
\frac{1}{3} + \frac{3}{6} = \frac{\_\_\_}{6} + \frac{3}{6} = \frac{\_\_\_}{6}
$$
1. Convert $\frac{1}{3}$ to a fraction with a denominator of 6:
$$
\frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6}
$$
2. Add the fractions:
$$
\frac{2}{6} + \frac{3}{6} = \frac{2 + 3}{6} = \frac{5}{6}
$$
Answer:
$$
\frac{2}{6} + \frac{3}{6} = \frac{5}{6}
$$
---
Problem 2:
$$
\frac{1}{4} + \frac{4}{12} = \frac{\_\_\_}{12} + \frac{4}{12} = \frac{\_\_\_}{12}
$$
1. Convert $\frac{1}{4}$ to a fraction with a denominator of 12:
$$
\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}
$$
2. Add the fractions:
$$
\frac{3}{12} + \frac{4}{12} = \frac{3 + 4}{12} = \frac{7}{12}
$$
Answer:
$$
\frac{3}{12} + \frac{4}{12} = \frac{7}{12}
$$
---
Problem 3:
$$
\frac{1}{5} + \frac{4}{15} = \frac{\_\_\_}{15} + \frac{4}{15} = \frac{\_\_\_}{15}
$$
1. Convert $\frac{1}{5}$ to a fraction with a denominator of 15:
$$
\frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15}
$$
2. Add the fractions:
$$
\frac{3}{15} + \frac{4}{15} = \frac{3 + 4}{15} = \frac{7}{15}
$$
Answer:
$$
\frac{3}{15} + \frac{4}{15} = \frac{7}{15}
$$
---
Problem 4:
$$
\frac{1}{2} + \frac{3}{8} = \frac{\_\_\_}{8} + \frac{3}{8} = \frac{\_\_\_}{8}
$$
1. Convert $\frac{1}{2}$ to a fraction with a denominator of 8:
$$
\frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8}
$$
2. Add the fractions:
$$
\frac{4}{8} + \frac{3}{8} = \frac{4 + 3}{8} = \frac{7}{8}
$$
Answer:
$$
\frac{4}{8} + \frac{3}{8} = \frac{7}{8}
$$
---
Problem 5:
$$
\frac{2}{7} + \frac{5}{14} = \frac{\_\_\_}{14} + \frac{5}{14} = \frac{\_\_\_}{14}
$$
1. Convert $\frac{2}{7}$ to a fraction with a denominator of 14:
$$
\frac{2}{7} = \frac{2 \times 2}{7 \times 2} = \frac{4}{14}
$$
2. Add the fractions:
$$
\frac{4}{14} + \frac{5}{14} = \frac{4 + 5}{14} = \frac{9}{14}
$$
Answer:
$$
\frac{4}{14} + \frac{5}{14} = \frac{9}{14}
$$
---
Problem 6:
$$
\frac{1}{4} + \frac{5}{16} = \frac{\_\_\_}{16} + \frac{5}{16} = \frac{\_\_\_}{16}
$$
1. Convert $\frac{1}{4}$ to a fraction with a denominator of 16:
$$
\frac{1}{4} = \frac{1 \times 4}{4 \times 4} = \frac{4}{16}
$$
2. Add the fractions:
$$
\frac{4}{16} + \frac{5}{16} = \frac{4 + 5}{16} = \frac{9}{16}
$$
Answer:
$$
\frac{4}{16} + \frac{5}{16} = \frac{9}{16}
$$
---
Problem 7:
$$
\frac{3}{5} + \frac{5}{20} = \frac{\_\_\_}{20} + \frac{5}{20} = \frac{\_\_\_}{20}
$$
1. Convert $\frac{3}{5}$ to a fraction with a denominator of 20:
$$
\frac{3}{5} = \frac{3 \times 4}{5 \times 4} = \frac{12}{20}
$$
2. Add the fractions:
$$
\frac{12}{20} + \frac{5}{20} = \frac{12 + 5}{20} = \frac{17}{20}
$$
Answer:
$$
\frac{12}{20} + \frac{5}{20} = \frac{17}{20}
$$
---
Problem 8:
$$
\frac{1}{9} + \frac{3}{18} = \frac{\_\_\_}{18} + \frac{3}{18} = \frac{\_\_\_}{18}
$$
1. Convert $\frac{1}{9}$ to a fraction with a denominator of 18:
$$
\frac{1}{9} = \frac{1 \times 2}{9 \times 2} = \frac{2}{18}
$$
2. Add the fractions:
$$
\frac{2}{18} + \frac{3}{18} = \frac{2 + 3}{18} = \frac{5}{18}
$$
Answer:
$$
\frac{2}{18} + \frac{3}{18} = \frac{5}{18}
$$
---
Problem 9:
$$
\frac{3}{16} + \frac{1}{8} = \frac{3}{16} + \frac{\_\_\_}{16} = \frac{\_\_\_}{16}
$$
1. Convert $\frac{1}{8}$ to a fraction with a denominator of 16:
$$
\frac{1}{8} = \frac{1 \times 2}{8 \times 2} = \frac{2}{16}
$$
2. Add the fractions:
$$
\frac{3}{16} + \frac{2}{16} = \frac{3 + 2}{16} = \frac{5}{16}
$$
Answer:
$$
\frac{3}{16} + \frac{2}{16} = \frac{5}{16}
$$
---
Problem 10:
$$
\frac{1}{18} + \frac{2}{3} = \frac{1}{18} + \frac{\_\_\_}{18} = \frac{\_\_\_}{18}
$$
1. Convert $\frac{2}{3}$ to a fraction with a denominator of 18:
$$
\frac{2}{3} = \frac{2 \times 6}{3 \times 6} = \frac{12}{18}
$$
2. Add the fractions:
$$
\frac{1}{18} + \frac{12}{18} = \frac{1 + 12}{18} = \frac{13}{18}
$$
Answer:
$$
\frac{1}{18} + \frac{12}{18} = \frac{13}{18}
$$
---
Problem 11:
$$
\frac{3}{25} + \frac{2}{5} = \frac{3}{25} + \frac{\_\_\_}{25} = \frac{\_\_\_}{25}
$$
1. Convert $\frac{2}{5}$ to a fraction with a denominator of 25:
$$
\frac{2}{5} = \frac{2 \times 5}{5 \times 5} = \frac{10}{25}
$$
2. Add the fractions:
$$
\frac{3}{25} + \frac{10}{25} = \frac{3 + 10}{25} = \frac{13}{25}
$$
Answer:
$$
\frac{3}{25} + \frac{10}{25} = \frac{13}{25}
$$
---
Problem 12:
$$
\frac{8}{21} + \frac{3}{7} = \frac{8}{21} + \frac{\_\_\_}{21} = \frac{\_\_\_}{21}
$$
1. Convert $\frac{3}{7}$ to a fraction with a denominator of 21:
$$
\frac{3}{7} = \frac{3 \times 3}{7 \times 3} = \frac{9}{21}
$$
2. Add the fractions:
$$
\frac{8}{21} + \frac{9}{21} = \frac{8 + 9}{21} = \frac{17}{21}
$$
Answer:
$$
\frac{8}{21} + \frac{9}{21} = \frac{17}{21}
$$
---
Problem 13:
$$
\frac{4}{30} + \frac{3}{10} = \_\_\_ + \_\_\_ = \_\_\_
$$
1. Convert $\frac{3}{10}$ to a fraction with a denominator of 30:
$$
\frac{3}{10} = \frac{3 \times 3}{10 \times 3} = \frac{9}{30}
$$
2. Add the fractions:
$$
\frac{4}{30} + \frac{9}{30} = \frac{4 + 9}{30} = \frac{13}{30}
$$
Answer:
$$
\frac{4}{30} + \frac{9}{30} = \frac{13}{30}
$$
---
Problem 14:
$$
\frac{7}{36} + \frac{4}{9} = \_\_\_ + \_\_\_ = \_\_\_
$$
1. Convert $\frac{4}{9}$ to a fraction with a denominator of 36:
$$
\frac{4}{9} = \frac{4 \times 4}{9 \times 4} = \frac{16}{36}
$$
2. Add the fractions:
$$
\frac{7}{36} + \frac{16}{36} = \frac{7 + 16}{36} = \frac{23}{36}
$$
Answer:
$$
\frac{7}{36} + \frac{16}{36} = \frac{23}{36}
$$
---
Problem 15:
$$
\frac{6}{28} + \frac{3}{4} = \_\_\_ + \_\_\_ = \_\_\_
$$
1. Simplify $\frac{6}{28}$:
$$
\frac{6}{28} = \frac{3}{14}
$$
2. Convert $\frac{3}{4}$ to a fraction with a denominator of 14:
$$
\frac{3}{4} = \frac{3 \times 7}{4 \times 7} = \frac{21}{28}
$$
3. Add the fractions:
$$
\frac{3}{14} + \frac{21}{28} = \frac{6}{28} + \frac{21}{28} = \frac{6 + 21}{28} = \frac{27}{28}
$$
Answer:
$$
\frac{6}{28} + \frac{21}{28} = \frac{27}{28}
$$
---
Problem 16:
$$
\frac{12}{35} + \frac{4}{7} = \_\_\_ + \_\_\_ = \_\_\_
$$
1. Convert $\frac{4}{7}$ to a fraction with a denominator of 35:
$$
\frac{4}{7} = \frac{4 \times 5}{7 \times 5} = \frac{20}{35}
$$
2. Add the fractions:
$$
\frac{12}{35} + \frac{20}{35} = \frac{12 + 20}{35} = \frac{32}{35}
$$
Answer:
$$
\frac{12}{35} + \frac{20}{35} = \frac{32}{35}
$$
---
Problem 17:
$$
\frac{2}{5} + \frac{8}{25} = \_\_\_ + \_\_\_ = \_\_\_
$$
1. Convert $\frac{2}{5}$ to a fraction with a denominator of 25:
$$
\frac{2}{5} = \frac{2 \times 5}{5 \times 5} = \frac{10}{25}
$$
2. Add the fractions:
$$
\frac{10}{25} + \frac{8}{25} = \frac{10 + 8}{25} = \frac{18}{25}
$$
Answer:
$$
\frac{10}{25} + \frac{8}{25} = \frac{18}{25}
$$
---
Problem 18:
$$
\frac{7}{24} + \frac{2}{3} = \_\_\_ + \_\_\_ = \_\_\_
$$
1. Convert $\frac{2}{3}$ to a fraction with a denominator of 24:
$$
\frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24}
$$
2. Add the fractions:
$$
\frac{7}{24} + \frac{16}{24} = \frac{7 + 16}{24} = \frac{23}{24}
$$
Answer:
$$
\frac{7}{24} + \frac{16}{24} = \frac{23}{24}
$$
---
Largest Fraction Sum:
The largest fraction sum is:
$$
\boxed{\frac{27}{28}}
$$
This is the result of Problem 15: $\frac{6}{28} + \frac{3}{4} = \frac{27}{28}$.
Parent Tip: Review the logic above to help your child master the concept of 5th grade math fraction worksheet.
![FREE 5Th Grade Fractions Worksheets [PDFs] Brighterly](/images2/5th-grade-math-fraction-worksheet/5th-grade-math-fraction-worksheet-24.jpg)
