Here are the solutions to the fraction addition problems on your worksheet.
1 a. $\frac{5}{10} + \frac{17}{10} = \frac{22}{10}$
*(This can be simplified to $\frac{11}{5}$ or $2 \frac{1}{5}$)*
1 b. $\frac{13}{10} + \frac{18}{10} = \frac{31}{10}$
*(This can be written as $3 \frac{1}{10}$)*
2 a. $\frac{2}{10} + \frac{8}{10} = \frac{10}{10} = 1$
2 b. $\frac{14}{10} + \frac{14}{10} = \frac{28}{10}$
*(This can be simplified to $\frac{14}{5}$ or $2 \frac{4}{5}$)*
3 a. $\frac{3}{2} + \frac{6}{2} = \frac{9}{2}$
*(This can be written as $4 \frac{1}{2}$)*
3 b. $\frac{13}{4} + \frac{6}{4} = \frac{19}{4}$
*(This can be written as $4 \frac{3}{4}$)*
4 a. $\frac{18}{8} + \frac{6}{8} = \frac{24}{8} = 3$
4 b. $\frac{5}{4} + \frac{10}{4} = \frac{15}{4}$
*(This can be written as $3 \frac{3}{4}$)*
5 a. $\frac{13}{5} + \frac{11}{5} = \frac{24}{5}$
*(This can be written as $4 \frac{4}{5}$)*
5 b. $\frac{14}{5} + \frac{2}{5} = \frac{16}{5}$
*(This can be written as $3 \frac{1}{5}$)*
6 a. $\frac{4}{3} + \frac{11}{3} = \frac{15}{3} = 5$
6 b. $\frac{16}{4} + \frac{5}{4} = \frac{21}{4}$
*(This can be written as $5 \frac{1}{4}$)*
7 a. $\frac{9}{6} + \frac{17}{6} = \frac{26}{6}$
*(This simplifies to $\frac{13}{3}$ or $4 \frac{1}{3}$)*
7 b. $\frac{15}{5} + \frac{6}{5} = \frac{21}{5}$
*(This can be written as $4 \frac{1}{5}$)*
8 a. $\frac{11}{5} + \frac{16}{5} = \frac{27}{5}$
*(This can be written as $5 \frac{2}{5}$)*
8 b. $\frac{13}{2} + \frac{13}{2} = \frac{26}{2} = 13$
Final Answer:
1a: 22/10 (or 11/5)
1b: 31/10
2a: 1
2b: 28/10 (or 14/5)
3a: 9/2
3b: 19/4
4a: 3
4b: 15/4
5a: 24/5
5b: 16/5
6a: 5
6b: 21/4
7a: 26/6 (or 13/3)
7b: 21/5
8a: 27/5
8b: 13
Parent Tip: Review the logic above to help your child master the concept of adding fractions unlike denominators worksheet answer keys.