Let's solve each of these fraction addition problems step by step. All the problems involve
adding fractions with like denominators, which means we can simply add the numerators and keep the denominator the same.
---
1.
$$
\frac{4}{11} + \frac{6}{11} = \frac{4 + 6}{11} = \frac{10}{11}
$$
✔ Answer: $ \frac{10}{11} $
---
2.
$$
\frac{12}{40} + \frac{11}{40} = \frac{12 + 11}{40} = \frac{23}{40}
$$
✔ Answer: $ \frac{23}{40} $
---
3.
$$
\frac{12}{33} + \frac{9}{33} = \frac{12 + 9}{33} = \frac{21}{33}
$$
Now simplify:
Divide numerator and denominator by 3:
$$
\frac{21 \div 3}{33 \div 3} = \frac{7}{11}
$$
✔ Answer: $ \frac{7}{11} $
---
4.
$$
\frac{6}{21} + \frac{5}{21} = \frac{6 + 5}{21} = \frac{11}{21}
$$
✔ Answer: $ \frac{11}{21} $
---
5.
$$
\frac{3}{13} + \frac{8}{13} = \frac{3 + 8}{13} = \frac{11}{13}
$$
✔ Answer: $ \frac{11}{13} $
---
6.
$$
\frac{5}{22} + \frac{7}{22} = \frac{5 + 7}{22} = \frac{12}{22}
$$
Simplify: divide numerator and denominator by 2:
$$
\frac{12 \div 2}{22 \div 2} = \frac{6}{11}
$$
✔ Answer: $ \frac{6}{11} $
---
7.
$$
\frac{13}{35} + \frac{11}{35} = \frac{13 + 11}{35} = \frac{24}{35}
$$
✔ Answer: $ \frac{24}{35} $
---
8.
$$
\frac{11}{43} + \frac{18}{43} = \frac{11 + 18}{43} = \frac{29}{43}
$$
✔ Answer: $ \frac{29}{43} $
---
✔ Final Answers:
1. $ \frac{10}{11} $
2. $ \frac{23}{40} $
3. $ \frac{7}{11} $
4. $ \frac{11}{21} $
5. $ \frac{11}{13} $
6. $ \frac{6}{11} $
7. $ \frac{24}{35} $
8. $ \frac{29}{43} $
---
💡
Tip for students: When adding fractions with the same denominator, just add the top numbers (numerators), keep the bottom number (denominator) the same, and simplify if needed! 🎉
Parent Tip: Review the logic above to help your child master the concept of 5th grade math fraction worksheet.
