Explanation:
We are adding fractions that all have the
same denominator (the bottom number). When denominators are the same, we just add the numerators (top numbers) and keep the denominator unchanged.
Let’s go one by one:
1. $ \frac{3}{5} + \frac{1}{5} = \frac{3+1}{5} = \frac{4}{5} $
2. $ \frac{1}{4} + \frac{3}{4} = \frac{1+3}{4} = \frac{4}{4} = 1 $
3. $ \frac{1}{7} + \frac{4}{7} = \frac{1+4}{7} = \frac{5}{7} $
4. $ \frac{3}{9} + \frac{5}{9} = \frac{3+5}{9} = \frac{8}{9} $
5. $ \frac{2}{6} + \frac{3}{6} = \frac{2+3}{6} = \frac{5}{6} $
6. $ \frac{1}{9} + \frac{4}{9} = \frac{1+4}{9} = \frac{5}{9} $
7. $ \frac{5}{6} + \frac{1}{6} = \frac{5+1}{6} = \frac{6}{6} = 1 $
8. $ \frac{1}{4} + \frac{2}{4} = \frac{1+2}{4} = \frac{3}{4} $
9. $ \frac{3}{8} + \frac{3}{8} = \frac{3+3}{8} = \frac{6}{8} $.
We can simplify $ \frac{6}{8} $ by dividing numerator and denominator by 2:
$ \frac{6 ÷ 2}{8 ÷ 2} = \frac{3}{4} $
10. $ \frac{2}{5} + \frac{1}{5} = \frac{2+1}{5} = \frac{3}{5} $
Double-check each:
- All additions of numerators are correct.
- Simplifications done where needed (only #9 needed simplifying).
- Answers are in simplest form.
Final Answer:
1. $ \frac{4}{5} $
2. $ 1 $
3. $ \frac{5}{7} $
4. $ \frac{8}{9} $
5. $ \frac{5}{6} $
6. $ \frac{5}{9} $
7. $ 1 $
8. $ \frac{3}{4} $
9. $ \frac{3}{4} $
10. $ \frac{3}{5} $
Parent Tip: Review the logic above to help your child master the concept of adding fractions with the same denominator worksheet.
