Let's solve each problem on the worksheet
"Adding and Subtracting Fractions with Like Denominators Sheet 1" step by step.
When adding or subtracting fractions with
like denominators, you simply add or subtract the
numerators and keep the
denominator the same. Then, simplify if needed.
---
Solutions:
1) $ \frac{2}{5} + \frac{1}{5} = \frac{2+1}{5} = \frac{3}{5} $
2) $ \frac{3}{6} - \frac{2}{6} = \frac{3-2}{6} = \frac{1}{6} $
3) $ \frac{2}{7} + \frac{4}{7} = \frac{2+4}{7} = \frac{6}{7} $
4) $ \frac{1}{8} + \frac{2}{8} = \frac{1+2}{8} = \frac{3}{8} $
5) $ \frac{3}{5} - \frac{1}{5} = \frac{3-1}{5} = \frac{2}{5} $
6) $ \frac{5}{10} - \frac{4}{10} = \frac{5-4}{10} = \frac{1}{10} $
7) $ \frac{2}{9} + \frac{3}{9} = \frac{2+3}{9} = \frac{5}{9} $
8) $ \frac{6}{11} - \frac{3}{11} = \frac{6-3}{11} = \frac{3}{11} $
9) $ \frac{9}{20} - \frac{2}{20} = \frac{9-2}{20} = \frac{7}{20} $
10) $ \frac{1}{7} + \frac{4}{7} = \frac{1+4}{7} = \frac{5}{7} $
11) $ \frac{8}{20} + \frac{3}{20} = \frac{8+3}{20} = \frac{11}{20} $
12) $ \frac{8}{12} - \frac{3}{12} = \frac{8-3}{12} = \frac{5}{12} $
13) $ \frac{4}{15} + \frac{7}{15} = \frac{4+7}{15} = \frac{11}{15} $
14) $ \frac{11}{25} - \frac{7}{25} = \frac{11-7}{25} = \frac{4}{25} $
15) $ \frac{7}{11} - \frac{3}{11} = \frac{7-3}{11} = \frac{4}{11} $
16) $ \frac{4}{13} + \frac{5}{13} = \frac{4+5}{13} = \frac{9}{13} $
17) $ \frac{9}{25} - \frac{9}{25} = \frac{9-9}{25} = \frac{0}{25} = 0 $
18) $ \frac{13}{25} + \frac{6}{25} = \frac{13+6}{25} = \frac{19}{25} $
19) $ \frac{5}{14} + \frac{4}{14} = \frac{5+4}{14} = \frac{9}{14} $
20) $ \frac{11}{13} - \frac{9}{13} = \frac{11-9}{13} = \frac{2}{13} $
---
✔ Final Answers:
1) $ \frac{3}{5} $
2) $ \frac{1}{6} $
3) $ \frac{6}{7} $
4) $ \frac{3}{8} $
5) $ \frac{2}{5} $
6) $ \frac{1}{10} $
7) $ \frac{5}{9} $
8) $ \frac{3}{11} $
9) $ \frac{7}{20} $
10) $ \frac{5}{7} $
11) $ \frac{11}{20} $
12) $ \frac{5}{12} $
13) $ \frac{11}{15} $
14) $ \frac{4}{25} $
15) $ \frac{4}{11} $
16) $ \frac{9}{13} $
17) $ 0 $
18) $ \frac{19}{25} $
19) $ \frac{9}{14} $
20) $ \frac{2}{13} $
---
📝 Explanation:
- Since all the fractions have
the same denominator, we only perform operations on the numerators.
- After adding or subtracting, check if the result can be simplified (but in most of these cases, it's already in simplest form).
- For example, in #17, $ \frac{9}{25} - \frac{9}{25} = 0 $ — any number minus itself is zero.
✔ All answers are simplified and correct!
Let me know if you'd like this as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting fractions with like and unlike denominators worksheet.
