1. Add these common fractions, make sure to reduce your answer to the lowest terms.
   1. [latex]\dfrac{1}{3} + \dfrac{1}{3} =[/latex]
   2. [latex]\dfrac{3}{7} + \dfrac{2}{7} =[/latex]
   3. [latex]\dfrac{4}{5} + \dfrac{1}{5} =[/latex]
   4. [latex]\dfrac{3}{8} + \dfrac{1}{8} =[/latex]
   5. [latex]\dfrac{4}{8} + \dfrac{2}{8} =[/latex]
   6. [latex]\dfrac{1}{12} + \dfrac{3}{12} =[/latex]
   7. [latex]\dfrac{3}{7} + \dfrac{5}{7} =[/latex]
   8. [latex]\dfrac{7}{21} + \dfrac{7}{21} =[/latex]

    

2. Add these common fractions, make sure to reduce your answer to the lowest terms.
   1. [latex]\dfrac{1}{3} + \dfrac{3}{6} =[/latex]
   2. [latex]\dfrac{1}{2} + \dfrac{2}{5} =[/latex]
   3. [latex]\dfrac{1}{4} + \dfrac{1}{3} =[/latex]
   4. [latex]\dfrac{3}{5} + \dfrac{3}{4} =[/latex]
   5. [latex]\dfrac{3}{7} + \dfrac{6}{8} =[/latex]
   6. [latex]\dfrac{1}{2} + \dfrac{13}{16} =[/latex]
   7. [latex]\dfrac{1}{8} + \dfrac{1}{3} =[/latex]
   8. [latex]\dfrac{3}{4} + \dfrac{8}{9} =[/latex]

    

3. Add. Express the sum in the lowest terms.
   1. [latex]6\dfrac{3}{5} + 2\dfrac{3}{7} =[/latex]
   2. [latex]3\dfrac{1}{4} + 4\dfrac{1}{2} =[/latex]
   3. [latex]3\dfrac{3}{8} + 4\dfrac{1}{4} =[/latex]
   4. [latex]8\dfrac{1}{5} + 1\dfrac{2}{7} =[/latex]
   5. [latex]1\dfrac{14}{15} + 3\dfrac{1}{3} =[/latex]
   6. [latex]4\dfrac{2}{3} + 1\dfrac{1}{4} =[/latex]
   7. [latex]12\dfrac{1}{2} + 1\dfrac{1}{3} =[/latex]
   8. [latex]9\dfrac{2}{5} + 1\dfrac{7}{10} =[/latex]
   9. [latex]9\dfrac{4}{5} + 3\dfrac{1}{7} =[/latex]
   10. [latex]2\dfrac{1}{5} + 7\dfrac{4}{15} =[/latex]

    

4. Subtract. Express your answers in the lowest terms.
   1. [latex]\begin{array}{rr}&\dfrac{2}{5}\\-&\dfrac{1}{5}\\\hline\\\end{array}[/latex]
   2. [latex]\begin{array}{rr}&\dfrac{5}{8}\\-&\dfrac{1}{8}\\\hline\\\end{array}[/latex]
   3. [latex]\begin{array}{rr}&\dfrac{2}{3}\\-&\dfrac{1}{3}\\\hline\\\end{array}[/latex]
   4. [latex]\begin{array}{rr}&\dfrac{5}{12}\\-&\dfrac{3}{12}\\\hline\\\end{array}[/latex]

    

5. Subtract and express your answer in the lowest terms
   1. [latex]\begin{array}{rr}&\dfrac{17}{22}\\-&\dfrac{6}{22}\\\hline\\\end{array}[/latex]
   2. [latex]\begin{array}{rr}&\dfrac{3}{4}\\-&\dfrac{1}{2}\\\hline\\\end{array}[/latex]
   3. [latex]\begin{array}{rr}&\dfrac{3}{4}\\-&\dfrac{1}{12}\\\hline\\\end{array}[/latex]
   4. [latex]\begin{array}{rr}&\dfrac{9}{10}\\-&\dfrac{4}{5}\\\hline\\\end{array}[/latex]
   5. [latex]\begin{array}{rr}&\dfrac{1}{2}\\-&\dfrac{3}{8}\\\hline\\\end{array}[/latex]
   6. [latex]\begin{array}{rr}&\dfrac{15}{16}\\-&\dfrac{3}{8}\\\hline\\\end{array}[/latex]
   7. [latex]\begin{array}{rr}&\dfrac{9}{16}\\-&\dfrac{1}{8}\\\hline\\\end{array}[/latex]
   8. [latex]\begin{array}{rr}&\dfrac{1}{6}\\-&\dfrac{1}{12}\\\hline\\\end{array}[/latex]

    

6. Subtract. Be sure to reduce your answers to the lowest terms.
   1. [latex]\begin{array}{rr}&20\dfrac{2}{4}\\-&10\dfrac{3}{4}\\\hline\\\end{array}[/latex]
   2. [latex]\begin{array}{rr}&1\dfrac{2}{3}\\-&\dfrac{5}{6}\\\hline\\\end{array}[/latex]
   3. [latex]\begin{array}{rr}&4\\-&\dfrac{1}{5}\\\hline\\\end{array}[/latex]
   4. [latex]\begin{array}{rr}&4\dfrac{1}{5}\\-&1\dfrac{2}{5}\\\hline\\\end{array}[/latex]
   5. [latex]\begin{array}{rr}&5\dfrac{1}{3}\\-&\dfrac{2}{3}\\\hline\\\end{array}[/latex]
   6. [latex]\begin{array}{rr}&9\dfrac{3}{5}\\-&4\dfrac{4}{5}\\\hline\\\end{array}[/latex]

    

7. Subtract the following fractions. Express your answer in the lowest terms.
   1. [latex]\begin{array}{rr}&15\dfrac{1}{6}\\-&3\dfrac{2}{5}\\\hline\\\end{array}[/latex]
   2. [latex]\begin{array}{rr}&7\\-&4\dfrac{1}{3}\\\hline\\\end{array}[/latex]
   3. [latex]\begin{array}{rr}&9\dfrac{1}{4}\\-&7\dfrac{5}{8}\\\hline\\\end{array}[/latex]
   4. [latex]\begin{array}{rr}&13\dfrac{1}{4}\\-&3\dfrac{4}{9}\\\hline\\\end{array}[/latex]
   5. [latex]\begin{array}{rr}&13\\-&1\dfrac{1}{5}\\\hline\\\end{array}[/latex]
   6. [latex]\begin{array}{rr}&7\dfrac{1}{3}\\-&4\dfrac{5}{6}\\\hline\\\end{array}[/latex]
   7. [latex]\begin{array}{rr}&18\dfrac{1}{6}\\-&14\dfrac{2}{9}\\\hline\\\end{array}[/latex]
   8. [latex]\begin{array}{rr}&4\dfrac{3}{5}\\-&3\dfrac{3}{4}\\\hline\\\end{array}[/latex]
   9. [latex]\begin{array}{rr}&22\\-&1\dfrac{7}{12}\\\hline\end{array}[/latex]
   10. [latex]\begin{array}{rr}&19\dfrac{1}{8}\\-&14\dfrac{1}{3}\\\hline\\\end{array}[/latex]

    

8. Solve the following word problems.
   1. 1. Cheryl walks for [latex]\dfrac{1}{2}[/latex] of an hour on Tuesdays and Thursdays, and [latex]\dfrac{2}{3}[/latex] of an hour on Mondays and Wednesdays.  On Fridays, Saturdays and Sundays, she walks for [latex]1\dfrac{1}{4}[/latex] hours each day.  How much time does she walk each week?
      2. The car trip took [latex]2\dfrac{2}{3}[/latex] hours for 300km.  What was the average speed (in km per hour)?
      3. The kids spent each day of their summer vacation at the lake! They would play in the water for [latex]\dfrac{3}{4}[/latex] of an hour in the morning, [latex]\dfrac{2}{3}[/latex] of an hour after lunch, and then [latex]1\dfrac{1}{2}[/latex] hours before dinner. How many hours did they spend in the water during their 14-day vacation?
      4. A freight truck has [latex]26\dfrac{1}{4}[/latex] kg of paper, [latex]4\dfrac{3}{6}[/latex]kg of pencils, [latex]37\dfrac{1}{3}[/latex] kg of file folders.  How much weight was it carrying?
      5. A flight from Fort Nelson to Vancouver takes [latex]2\dfrac{5}{6}[/latex] of an hour. If the plane has been flying for [latex]1\dfrac{1}{4}[/latex] of an hour, how much longer will the flight be?
      6. According to Statistics Canada, Terrace’s annual rainfall is [latex]970\dfrac{6}{25}[/latex] mm, and Smithers’ annual rainfall is [latex]513\dfrac{1}{4}[/latex] mm, how much more rain does Terrace get than Smithers each year?
      7.  A park is [latex]\dfrac{121}{2}[/latex] km wide and [latex]\dfrac{251}{3}[/latex] km long.  What is the area of the park?

3.13: Review Answers

1. Add these common fractions, make sure to reduce your answer to the lowest terms.
   1. [latex]\dfrac{2}{3}[/latex]
   2. [latex]\dfrac{5}{7}[/latex]
   3. 1
   4. [latex]\dfrac{1}{2}[/latex]
   5. [latex]\dfrac{3}{4}[/latex]
   6. [latex]\dfrac{1}{3}[/latex]
   7. [latex]1\dfrac{1}{7}[/latex]
   8. [latex]\dfrac{2}{3}[/latex]

    

2. Add these common fractions, make sure to reduce your answer to the lowest terms.
   1. [latex]\dfrac{5}{6}[/latex]
   2. [latex]\dfrac{9}{10}[/latex]
   3. [latex]\dfrac{7}{12}[/latex]
   4. [latex]1\dfrac{7}{20}[/latex]
   5. [latex]1\dfrac{5}{28}[/latex]
   6. [latex]1\dfrac{5}{16}[/latex]
   7. [latex]\dfrac{11}{24}[/latex]
   8. [latex]\dfrac{59}{72}[/latex]
   9. [latex]1\dfrac{29}{63}[/latex]
   10. [latex]\dfrac{47}{60}[/latex]

    

3. Add.
   1. [latex]9\dfrac{1}{35}[/latex]
   2. [latex]7\dfrac{3}{4}[/latex]
   3. [latex]7\dfrac{5}{8}[/latex]
   4. [latex]9\dfrac{17}{35}[/latex]
   5. [latex]5\dfrac{4}{15}[/latex]
   6. [latex]5\dfrac{11}{12}[/latex]
   7. [latex]13\dfrac{5}{6}[/latex]
   8. [latex]11\dfrac{1}{10}[/latex]
   9. [latex]12\dfrac{33}{35}[/latex]
   10. [latex]9\dfrac{7}{15}[/latex]

    

4. Subtract.
   1. [latex]\dfrac{1}{5}[/latex]
   2. [latex]\dfrac{1}{2}[/latex]
   3. [latex]\dfrac{1}{3}[/latex]
   4. [latex]\dfrac{1}{6}[/latex]

    

5. Subtract and express your answer in the lowest terms
   1. [latex]\dfrac{1}{2}[/latex]
   2. [latex]\dfrac{1}{4}[/latex]
   3. [latex]\dfrac{2}{3}[/latex]
   4. [latex]\dfrac{1}{10}[/latex]
   5. [latex]\dfrac{1}{8}[/latex]
   6. [latex]5\dfrac{9}{16}[/latex]
   7. [latex]5\dfrac{7}{16}[/latex]
   8. [latex]\dfrac{1}{12}[/latex]

    

6. Subtract.
   1. [latex]9\dfrac{3}{4}[/latex]
   2. [latex]\dfrac{5}{6}[/latex]
   3. [latex]3\dfrac{4}{5}[/latex]
   4. [latex]2\dfrac{4}{5}[/latex]
   5. [latex]4\dfrac{2}{3}[/latex]
   6. [latex]4\dfrac{4}{5}[/latex]

    

7. Subtract the following fractions.
   1. [latex]11\dfrac{23}{30}[/latex]
   2. [latex]2\dfrac{2}{3}[/latex]
   3. [latex]1\dfrac{5}{8}[/latex]
   4. [latex]9\dfrac{29}{36}[/latex]
   5. [latex]11\dfrac{4}{5}[/latex]
   6. [latex]2\dfrac{1}{2}[/latex]
   7. [latex]3\dfrac{17}{18}[/latex]
   8. [latex]\dfrac{17}{20}[/latex]
   9. [latex]20\dfrac{5}{12}[/latex]
   10. [latex]4\dfrac{19}{24}[/latex]

    

8. Solve the following word problems.
   1. Cheryl walked [latex]6\dfrac{1}{12}[/latex] hours each week.
   2. The average was [latex]112\dfrac{1}{2}[/latex] km/hour
   3. [latex]40\dfrac{5}{6}[/latex] hours in the lake
   4. [latex]68\dfrac{1}{12}[/latex] kg
   5. [latex]1\dfrac{7}{12}[/latex] hours left on the flight
   6.  Terrace gets [latex]456\dfrac{99}{100}[/latex] cm more rain per year than Smithers.
   7. [latex]316\dfrac{2}{3}[/latex] km²

Attribution

This chapter has been adapted from Unit 4 Review in Adult Literacy Fundamental Mathematics: Book 5 – 2nd Edition (BCcampus) by Liz Girard, Wendy Tagami, and Leanne Caillier-Smith (2023), which is under a CC BY 4.0 license.