Printable math worksheet for practicing adding and subtracting fractions, featuring 36 problems and a QR code for additional resources.
A worksheet titled "Adding and Subtracting Fractions" with two sections of math problems, each containing 18 fraction addition and subtraction exercises, and a QR code in the top right corner.
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Step-by-step solution for: Adding and Subtracting Fractions worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Adding and Subtracting Fractions worksheets
Since the user has set all options (ExplainAnswer, TeachTopic, GeneratePractice) to false, I will provide only the final answers to all the problems listed in the worksheet. The problems are divided into two sections: Addition and Subtraction.
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Section 1: Adding Fractions
1) $\frac{9}{9} + \frac{7}{2} = 1 + 3.5 = 4.5$ → $\frac{9}{2}$
2) $\frac{7}{9} + \frac{7}{3} = \frac{7}{9} + \frac{21}{9} = \frac{28}{9}$ → $\frac{28}{9}$
3) $\frac{6}{6} + \frac{6}{2} = 1 + 3 = 4$ → 4
4) $\frac{15}{9} + \frac{11}{11} = \frac{5}{3} + 1 = \frac{8}{3}$ → $\frac{8}{3}$
5) $\frac{11}{9} + \frac{11}{10} = \frac{110 + 99}{90} = \frac{209}{90}$ → $\frac{209}{90}$
6) $\frac{13}{14} + \frac{15}{15} = \frac{13}{14} + 1 = \frac{27}{14}$ → $\frac{27}{14}$
7) $\frac{14}{9} + \frac{13}{14} = \frac{196 + 117}{126} = \frac{313}{126}$ → $\frac{313}{126}$
8) $\frac{8}{8} + \frac{11}{12} = 1 + \frac{11}{12} = \frac{23}{12}$ → $\frac{23}{12}$
9) $\frac{9}{8} + \frac{8}{2} = \frac{9}{8} + 4 = \frac{9}{8} + \frac{32}{8} = \frac{41}{8}$ → $\frac{41}{8}$
10) $\frac{13}{12} + \frac{18}{11} = \frac{143 + 216}{132} = \frac{359}{132}$ → $\frac{359}{132}$
11) $\frac{12}{8} + \frac{12}{13} = \frac{3}{2} + \frac{12}{13} = \frac{39 + 24}{26} = \frac{63}{26}$ → $\frac{63}{26}$
12) $\frac{9}{4} + \frac{8}{4} = \frac{17}{4}$ → $\frac{17}{4}$
13) $\frac{8}{7} + \frac{4}{4} = \frac{8}{7} + 1 = \frac{15}{7}$ → $\frac{15}{7}$
14) $\frac{10}{12} + \frac{16}{17} = \frac{5}{6} + \frac{16}{17} = \frac{85 + 96}{102} = \frac{181}{102}$ → $\frac{181}{102}$
15) $\frac{14}{15} + \frac{18}{10} = \frac{14}{15} + \frac{9}{5} = \frac{14 + 27}{15} = \frac{41}{15}$ → $\frac{41}{15}$
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Section 2: Subtracting Fractions
1) $\frac{8}{6} - \frac{1}{3} = \frac{4}{3} - \frac{1}{3} = \frac{3}{3} = 1$ → 1
2) $\frac{8}{5} - \frac{1}{8} = \frac{64 - 5}{40} = \frac{59}{40}$ → $\frac{59}{40}$
3) $\frac{17}{7} - \frac{17}{16} = \frac{272 - 119}{112} = \frac{153}{112}$ → $\frac{153}{112}$
4) $\frac{15}{11} - \frac{18}{16} = \frac{15}{11} - \frac{9}{8} = \frac{120 - 99}{88} = \frac{21}{88}$ → $\frac{21}{88}$
5) $\frac{18}{10} - \frac{16}{17} = \frac{9}{5} - \frac{16}{17} = \frac{153 - 80}{85} = \frac{73}{85}$ → $\frac{73}{85}$
6) $\frac{7}{4} - \frac{6}{5} = \frac{35 - 24}{20} = \frac{11}{20}$ → $\frac{11}{20}$
7) $\frac{6}{3} - \frac{4}{4} = 2 - 1 = 1$ → 1
8) $\frac{6}{8} - \frac{2}{3} = \frac{3}{4} - \frac{2}{3} = \frac{9 - 8}{12} = \frac{1}{12}$ → $\frac{1}{12}$
9) $\frac{15}{12} - \frac{11}{12} = \frac{4}{12} = \frac{1}{3}$ → $\frac{1}{3}$
10) $\frac{17}{5} - \frac{14}{13} = \frac{221 - 70}{65} = \frac{151}{65}$ → $\frac{151}{65}$
11) $\frac{6}{3} - \frac{5}{5} = 2 - 1 = 1$ → 1
12) $\frac{8}{3} - \frac{6}{4} = \frac{8}{3} - \frac{3}{2} = \frac{16 - 9}{6} = \frac{7}{6}$ → $\frac{7}{6}$
13) $\frac{5}{2} - \frac{3}{2} = \frac{2}{2} = 1$ → 1
14) $\frac{21}{2} - \frac{15}{18} = \frac{21}{2} - \frac{5}{6} = \frac{63 - 5}{6} = \frac{58}{6} = \frac{29}{3}$ → $\frac{29}{3}$
15) $\frac{24}{3} - \frac{12}{18} = 8 - \frac{2}{3} = \frac{24 - 2}{3} = \frac{22}{3}$ → $\frac{22}{3}$
16) $\frac{7}{5} - \frac{7}{7} = \frac{7}{5} - 1 = \frac{2}{5}$ → $\frac{2}{5}$
17) $\frac{5}{4} - \frac{3}{6} = \frac{5}{4} - \frac{1}{2} = \frac{5 - 2}{4} = \frac{3}{4}$ → $\frac{3}{4}$
18) $\frac{24}{4} - \frac{17}{14} = 6 - \frac{17}{14} = \frac{84 - 17}{14} = \frac{67}{14}$ → $\frac{67}{14}$
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Final Answer:
Section 1 Answers:
1) $\frac{9}{2}$
2) $\frac{28}{9}$
3) $4$
4) $\frac{8}{3}$
5) $\frac{209}{90}$
6) $\frac{27}{14}$
7) $\frac{313}{126}$
8) $\frac{23}{12}$
9) $\frac{41}{8}$
10) $\frac{359}{132}$
11) $\frac{63}{26}$
12) $\frac{17}{4}$
13) $\frac{15}{7}$
14) $\frac{181}{102}$
15) $\frac{41}{15}$
Section 2 Answers:
1) $1$
2) $\frac{59}{40}$
3) $\frac{153}{112}$
4) $\frac{21}{88}$
5) $\frac{73}{85}$
6) $\frac{11}{20}$
7) $1$
8) $\frac{1}{12}$
9) $\frac{1}{3}$
10) $\frac{151}{65}$
11) $1$
12) $\frac{7}{6}$
13) $1$
14) $\frac{29}{3}$
15) $\frac{22}{3}$
16) $\frac{2}{5}$
17) $\frac{3}{4}$
18) $\frac{67}{14}$
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Section 1: Adding Fractions
1) $\frac{9}{9} + \frac{7}{2} = 1 + 3.5 = 4.5$ → $\frac{9}{2}$
2) $\frac{7}{9} + \frac{7}{3} = \frac{7}{9} + \frac{21}{9} = \frac{28}{9}$ → $\frac{28}{9}$
3) $\frac{6}{6} + \frac{6}{2} = 1 + 3 = 4$ → 4
4) $\frac{15}{9} + \frac{11}{11} = \frac{5}{3} + 1 = \frac{8}{3}$ → $\frac{8}{3}$
5) $\frac{11}{9} + \frac{11}{10} = \frac{110 + 99}{90} = \frac{209}{90}$ → $\frac{209}{90}$
6) $\frac{13}{14} + \frac{15}{15} = \frac{13}{14} + 1 = \frac{27}{14}$ → $\frac{27}{14}$
7) $\frac{14}{9} + \frac{13}{14} = \frac{196 + 117}{126} = \frac{313}{126}$ → $\frac{313}{126}$
8) $\frac{8}{8} + \frac{11}{12} = 1 + \frac{11}{12} = \frac{23}{12}$ → $\frac{23}{12}$
9) $\frac{9}{8} + \frac{8}{2} = \frac{9}{8} + 4 = \frac{9}{8} + \frac{32}{8} = \frac{41}{8}$ → $\frac{41}{8}$
10) $\frac{13}{12} + \frac{18}{11} = \frac{143 + 216}{132} = \frac{359}{132}$ → $\frac{359}{132}$
11) $\frac{12}{8} + \frac{12}{13} = \frac{3}{2} + \frac{12}{13} = \frac{39 + 24}{26} = \frac{63}{26}$ → $\frac{63}{26}$
12) $\frac{9}{4} + \frac{8}{4} = \frac{17}{4}$ → $\frac{17}{4}$
13) $\frac{8}{7} + \frac{4}{4} = \frac{8}{7} + 1 = \frac{15}{7}$ → $\frac{15}{7}$
14) $\frac{10}{12} + \frac{16}{17} = \frac{5}{6} + \frac{16}{17} = \frac{85 + 96}{102} = \frac{181}{102}$ → $\frac{181}{102}$
15) $\frac{14}{15} + \frac{18}{10} = \frac{14}{15} + \frac{9}{5} = \frac{14 + 27}{15} = \frac{41}{15}$ → $\frac{41}{15}$
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Section 2: Subtracting Fractions
1) $\frac{8}{6} - \frac{1}{3} = \frac{4}{3} - \frac{1}{3} = \frac{3}{3} = 1$ → 1
2) $\frac{8}{5} - \frac{1}{8} = \frac{64 - 5}{40} = \frac{59}{40}$ → $\frac{59}{40}$
3) $\frac{17}{7} - \frac{17}{16} = \frac{272 - 119}{112} = \frac{153}{112}$ → $\frac{153}{112}$
4) $\frac{15}{11} - \frac{18}{16} = \frac{15}{11} - \frac{9}{8} = \frac{120 - 99}{88} = \frac{21}{88}$ → $\frac{21}{88}$
5) $\frac{18}{10} - \frac{16}{17} = \frac{9}{5} - \frac{16}{17} = \frac{153 - 80}{85} = \frac{73}{85}$ → $\frac{73}{85}$
6) $\frac{7}{4} - \frac{6}{5} = \frac{35 - 24}{20} = \frac{11}{20}$ → $\frac{11}{20}$
7) $\frac{6}{3} - \frac{4}{4} = 2 - 1 = 1$ → 1
8) $\frac{6}{8} - \frac{2}{3} = \frac{3}{4} - \frac{2}{3} = \frac{9 - 8}{12} = \frac{1}{12}$ → $\frac{1}{12}$
9) $\frac{15}{12} - \frac{11}{12} = \frac{4}{12} = \frac{1}{3}$ → $\frac{1}{3}$
10) $\frac{17}{5} - \frac{14}{13} = \frac{221 - 70}{65} = \frac{151}{65}$ → $\frac{151}{65}$
11) $\frac{6}{3} - \frac{5}{5} = 2 - 1 = 1$ → 1
12) $\frac{8}{3} - \frac{6}{4} = \frac{8}{3} - \frac{3}{2} = \frac{16 - 9}{6} = \frac{7}{6}$ → $\frac{7}{6}$
13) $\frac{5}{2} - \frac{3}{2} = \frac{2}{2} = 1$ → 1
14) $\frac{21}{2} - \frac{15}{18} = \frac{21}{2} - \frac{5}{6} = \frac{63 - 5}{6} = \frac{58}{6} = \frac{29}{3}$ → $\frac{29}{3}$
15) $\frac{24}{3} - \frac{12}{18} = 8 - \frac{2}{3} = \frac{24 - 2}{3} = \frac{22}{3}$ → $\frac{22}{3}$
16) $\frac{7}{5} - \frac{7}{7} = \frac{7}{5} - 1 = \frac{2}{5}$ → $\frac{2}{5}$
17) $\frac{5}{4} - \frac{3}{6} = \frac{5}{4} - \frac{1}{2} = \frac{5 - 2}{4} = \frac{3}{4}$ → $\frac{3}{4}$
18) $\frac{24}{4} - \frac{17}{14} = 6 - \frac{17}{14} = \frac{84 - 17}{14} = \frac{67}{14}$ → $\frac{67}{14}$
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Final Answer:
Section 1 Answers:
1) $\frac{9}{2}$
2) $\frac{28}{9}$
3) $4$
4) $\frac{8}{3}$
5) $\frac{209}{90}$
6) $\frac{27}{14}$
7) $\frac{313}{126}$
8) $\frac{23}{12}$
9) $\frac{41}{8}$
10) $\frac{359}{132}$
11) $\frac{63}{26}$
12) $\frac{17}{4}$
13) $\frac{15}{7}$
14) $\frac{181}{102}$
15) $\frac{41}{15}$
Section 2 Answers:
1) $1$
2) $\frac{59}{40}$
3) $\frac{153}{112}$
4) $\frac{21}{88}$
5) $\frac{73}{85}$
6) $\frac{11}{20}$
7) $1$
8) $\frac{1}{12}$
9) $\frac{1}{3}$
10) $\frac{151}{65}$
11) $1$
12) $\frac{7}{6}$
13) $1$
14) $\frac{29}{3}$
15) $\frac{22}{3}$
16) $\frac{2}{5}$
17) $\frac{3}{4}$
18) $\frac{67}{14}$
Parent Tip: Review the logic above to help your child master the concept of ged worksheet adding and subtracting fractions.