Question

worksheet
find the sum.

1. \\(\frac{7}{11} + \frac{2}{11} = \underline{quadquad}\\) 2. \\(\frac{3}{7} + \frac{2}{7} = \underline{quadquad}\\) 3. \\(\frac{2}{9} + \frac{3}{9} = \underline{quadquad}\\)
2. \\(\frac{2}{7} + \frac{6}{7} = \underline{quadquad}\\) 5. \\(\frac{19}{20} + \frac{19}{20} = \underline{quadquad}\\) 6. \\(\frac{24}{25} + \frac{20}{25} = \underline{quadquad}\\)
3. \\(\frac{1}{4} + \frac{1}{4} = \underline{quadquad}\\) 8. \\(\frac{5}{100} + \frac{9}{100} = \underline{quadquad}\\) 9. \\(\frac{5}{8} + \frac{7}{8} = \underline{quadquad}\\)
4. \\(\frac{11}{12} + \frac{11}{12} = \underline{quadquad}\\) 11. \\(\frac{2}{6} + \frac{5}{6} = \underline{quadquad}\\) 12. \\(\frac{1}{2} + \frac{1}{2} = \underline{quadquad}\\)
5. \\(\frac{2}{15} + \frac{3}{15} = \underline{quadquad}\\) 14. \\(\frac{4}{14} + \frac{6}{14} = \underline{quadquad}\\) 15. \\(\frac{11}{13} + \frac{12}{13} = \underline{quadquad}\\)
6. \\(\frac{3}{5} + \frac{4}{5} = \underline{quadquad}\\) 17. \\(\frac{7}{11} + \frac{5}{11} = \underline{quadquad}\\) 18. \\(\frac{1}{3} + \frac{1}{3} = \underline{quadquad}\\)
7. \\(\frac{2}{16} + \frac{13}{16} = \underline{quadquad}\\) 20. \\(\frac{8}{10} + \frac{5}{10} = \underline{quadquad}\\) 21. \\(\frac{6}{50} + \frac{15}{50} = \underline{quadquad}\\)

Explanation:

For all problems, since the fractions have like denominators, we follow this rule: add the numerators and keep the denominator the same. Simplify if possible.

Step1: Add numerators, keep denominator

1. $\frac{7+2}{11} = \frac{9}{11}$

2. $\frac{3+2}{7} = \frac{5}{7}$

3. $\frac{2+3}{9} = \frac{5}{9}$

4. $\frac{2+6}{7} = \frac{8}{7}$

5. $\frac{19+19}{20} = \frac{38}{20} = \frac{19}{10}$

6. $\frac{24+20}{25} = \frac{44}{25}$

7. $\frac{1+1}{4} = \frac{2}{4} = \frac{1}{2}$

8. $\frac{5+9}{100} = \frac{14}{100} = \frac{7}{50}$

9. $\frac{5+7}{8} = \frac{12}{8} = \frac{3}{2}$

10. $\frac{11+11}{12} = \frac{22}{12} = \frac{11}{6}$

11. $\frac{2+5}{6} = \frac{7}{6}$

12. $\frac{1+1}{2} = \frac{2}{2} = 1$

13. $\frac{2+3}{15} = \frac{5}{15} = \frac{1}{3}$

14. $\frac{4+6}{14} = \frac{10}{14} = \frac{5}{7}$

15. $\frac{11+12}{13} = \frac{23}{13}$

16. $\frac{3+4}{5} = \frac{7}{5}$

17. $\frac{7+5}{11} = \frac{12}{11}$

18. $\frac{1+1}{3} = \frac{2}{3}$

19. $\frac{2+13}{16} = \frac{15}{16}$

20. $\frac{8+5}{10} = \frac{13}{10}$

21. $\frac{6+15}{50} = \frac{21}{50}$

Answer:

1. $\frac{9}{11}$
2. $\frac{5}{7}$
3. $\frac{5}{9}$
4. $\frac{8}{7}$
5. $\frac{19}{10}$
6. $\frac{44}{25}$
7. $\frac{1}{2}$
8. $\frac{7}{50}$
9. $\frac{3}{2}$
10. $\frac{11}{6}$
11. $\frac{7}{6}$
12. $1$
13. $\frac{1}{3}$
14. $\frac{5}{7}$
15. $\frac{23}{13}$
16. $\frac{7}{5}$
17. $\frac{12}{11}$
18. $\frac{2}{3}$
19. $\frac{15}{16}$
20. $\frac{13}{10}$
21. $\frac{21}{50}$