Skip to main content
Mathematics LibreTexts

Fractions Drills

  • Page ID
    153658
  • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)

    \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)

    \( \newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\)

    ( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\)

    \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)

    \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\)

    \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)

    \( \newcommand{\Span}{\mathrm{span}}\)

    \( \newcommand{\id}{\mathrm{id}}\)

    \( \newcommand{\Span}{\mathrm{span}}\)

    \( \newcommand{\kernel}{\mathrm{null}\,}\)

    \( \newcommand{\range}{\mathrm{range}\,}\)

    \( \newcommand{\RealPart}{\mathrm{Re}}\)

    \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)

    \( \newcommand{\Argument}{\mathrm{Arg}}\)

    \( \newcommand{\norm}[1]{\| #1 \|}\)

    \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)

    \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\AA}{\unicode[.8,0]{x212B}}\)

    \( \newcommand{\vectorA}[1]{\vec{#1}}      % arrow\)

    \( \newcommand{\vectorAt}[1]{\vec{\text{#1}}}      % arrow\)

    \( \newcommand{\vectorB}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)

    \( \newcommand{\vectorC}[1]{\textbf{#1}} \)

    \( \newcommand{\vectorD}[1]{\overrightarrow{#1}} \)

    \( \newcommand{\vectorDt}[1]{\overrightarrow{\text{#1}}} \)

    \( \newcommand{\vectE}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{\mathbf {#1}}}} \)

    \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)

    \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)

    \(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)

    \[ \begin{align*} 1. & \hspace{0.5cm} \frac{1}{2} + \frac{1}{3} = \underline{\hspace{1.5cm}} & \hspace{2cm} & 11. & \hspace{0.5cm} \frac{3}{4} + \frac{2}{5} = \underline{\hspace{1.5cm}} \\[10pt] 2. & \hspace{0.5cm} \frac{2}{3} + \frac{3}{4} = \underline{\hspace{1.5cm}} & & 12. & \hspace{0.5cm} \frac{5}{6} + \frac{1}{2} = \underline{\hspace{1.5cm}} \\[10pt] 3. & \hspace{0.5cm} \frac{3}{5} + \frac{2}{5} = \underline{\hspace{1.5cm}} & & 13. & \hspace{0.5cm} \frac{4}{7} + \frac{3}{7} = \underline{\hspace{1.5cm}} \\[10pt] 4. & \hspace{0.5cm} \frac{2}{7} + \frac{5}{7} = \underline{\hspace{1.5cm}} & & 14. & \hspace{0.5cm} \frac{3}{8} + \frac{1}{8} = \underline{\hspace{1.5cm}} \\[10pt] 5. & \hspace{0.5cm} \frac{1}{4} + \frac{3}{8} = \underline{\hspace{1.5cm}} & & 15. & \hspace{0.5cm} \frac{5}{9} + \frac{4}{9} = \underline{\hspace{1.5cm}} \\[10pt] 6. & \hspace{0.5cm} \frac{3}{6} + \frac{2}{3} = \underline{\hspace{1.5cm}} & & 16. & \hspace{0.5cm} \frac{1}{5} + \frac{2}{10} = \underline{\hspace{1.5cm}} \\[10pt] 7. & \hspace{0.5cm} \frac{2}{9} + \frac{4}{9} = \underline{\hspace{1.5cm}} & & 17. & \hspace{0.5cm} \frac{3}{10} + \frac{1}{4} = \underline{\hspace{1.5cm}} \\[10pt] 8. & \hspace{0.5cm} \frac{4}{6} + \frac{3}{4} = \underline{\hspace{1.5cm}} & & 18. & \hspace{0.5cm} \frac{2}{5} + \frac{3}{10} = \underline{\hspace{1.5cm}} \\[10pt] 9. & \hspace{0.5cm} \frac{5}{8} + \frac{1}{8} = \underline{\hspace{1.5cm}} & & 19. & \hspace{0.5cm} \frac{3}{6} + \frac{1}{3} = \underline{\hspace{1.5cm}} \\[10pt] 10. & \hspace{0.5cm} \frac{1}{2} + \frac{1}{4} = \underline{\hspace{1.5cm}} & & 20. & \hspace{0.5cm} \frac{2}{3} + \frac{2}{9} = \underline{\hspace{1.5cm}} \\[10pt] \end{align*} \]

    Time: \( \underline{\hspace{1.5cm}}\)

    \[ \begin{align*} 21. & \hspace{0.5cm} \frac{3}{4} - \frac{1}{3} = \underline{\hspace{1.5cm}} & \hspace{2cm} & 31. & \hspace{0.5cm} \frac{5}{6} - \frac{1}{2} = \underline{\hspace{1.5cm}} \\[10pt] 22. & \hspace{0.5cm} \frac{2}{3} - \frac{3}{4} = \underline{\hspace{1.5cm}} & & 32. & \hspace{0.5cm} \frac{5}{8} - \frac{1}{8} = \underline{\hspace{1.5cm}} \\[10pt] 23. & \hspace{0.5cm} \frac{3}{5} - \frac{2}{5} = \underline{\hspace{1.5cm}} & & 33. & \hspace{0.5cm} \frac{2}{7} - \frac{5}{7} = \underline{\hspace{1.5cm}} \\[10pt] 24. & \hspace{0.5cm} \frac{2}{7} - \frac{5}{7} = \underline{\hspace{1.5cm}} & & 34. & \hspace{0.5cm} \frac{1}{4} - \frac{3}{8} = \underline{\hspace{1.5cm}} \\[10pt] 25. & \hspace{0.5cm} \frac{1}{4} - \frac{3}{8} = \underline{\hspace{1.5cm}} & & 35. & \hspace{0.5cm} \frac{5}{9} - \frac{4}{9} = \underline{\hspace{1.5cm}} \\[10pt] 26. & \hspace{0.5cm} \frac{3}{6} - \frac{2}{3} = \underline{\hspace{1.5cm}} & & 36. & \hspace{0.5cm} \frac{1}{5} - \frac{2}{10} = \underline{\hspace{1.5cm}} \\[10pt] 27. & \hspace{0.5cm} \frac{2}{9} - \frac{4}{9} = \underline{\hspace{1.5cm}} & & 37. & \hspace{0.5cm} \frac{3}{10} - \frac{1}{4} = \underline{\hspace{1.5cm}} \\[10pt] 28. & \hspace{0.5cm} \frac{4}{6} - \frac{3}{4} = \underline{\hspace{1.5cm}} & & 38. & \hspace{0.5cm} \frac{2}{5} - \frac{3}{10} = \underline{\hspace{1.5cm}} \\[10pt] 29. & \hspace{0.5cm} \frac{5}{8} - \frac{1}{8} = \underline{\hspace{1.5cm}} & & 39. & \hspace{0.5cm} \frac{3}{6} - \frac{1}{3} = \underline{\hspace{1.5cm}} \\[10pt] 30. & \hspace{0.5cm} \frac{1}{2} - \frac{1}{4} = \underline{\hspace{1.5cm}} & & 40. & \hspace{0.5cm} \frac{2}{3} - \frac{2}{9} = \underline{\hspace{1.5cm}} \\[10pt] \end{align*} \]

    Time: \( \underline{\hspace{1.5cm}}\)

    \[ \begin{align*} 1. & \hspace{0.5cm} \frac{1}{5} + \frac{1}{9} = \underline{\hspace{1.5cm}} & \hspace{2cm} & 11. & \hspace{0.5cm} \frac{1}{7} + \frac{1}{8} = \underline{\hspace{1.5cm}} \\[10pt] 2. & \hspace{0.5cm} \frac{1}{6} + \frac{1}{4} = \underline{\hspace{1.5cm}} & & 12. & \hspace{0.5cm} \frac{1}{2} + \frac{1}{10} = \underline{\hspace{1.5cm}} \\[10pt] 3. & \hspace{0.5cm} \frac{1}{3} + \frac{1}{5} = \underline{\hspace{1.5cm}} & & 13. & \hspace{0.5cm} \frac{1}{4} + \frac{1}{6} = \underline{\hspace{1.5cm}} \\[10pt] 4. & \hspace{0.5cm} \frac{1}{2} + \frac{1}{8} = \underline{\hspace{1.5cm}} & & 14. & \hspace{0.5cm} \frac{1}{12} + \frac{1}{9} = \underline{\hspace{1.5cm}} \\[10pt] 5. & \hspace{0.5cm} \frac{1}{21} + \frac{1}{16} = \underline{\hspace{1.5cm}} & & 15. & \hspace{0.5cm} \frac{1}{21} + \frac{1}{7} = \underline{\hspace{1.5cm}} \\[10pt] 6. & \hspace{0.5cm} \frac{1}{32} + \frac{1}{8} = \underline{\hspace{1.5cm}} & & 16. & \hspace{0.5cm} \frac{1}{24} + \frac{1}{6} = \underline{\hspace{1.5cm}} \\[10pt] 7. & \hspace{0.5cm} \frac{1}{3} + \frac{1}{32} = \underline{\hspace{1.5cm}} & & 17. & \hspace{0.5cm} \frac{1}{20} + \frac{1}{12} = \underline{\hspace{1.5cm}} \\[10pt] 8. & \hspace{0.5cm} \frac{1}{28} + \frac{1}{4} = \underline{\hspace{1.5cm}} & & 18. & \hspace{0.5cm} \frac{1}{8} + \frac{1}{3} = \underline{\hspace{1.5cm}} \\[10pt] 9. & \hspace{0.5cm} \frac{1}{15} + \frac{1}{6} = \underline{\hspace{1.5cm}} & & 19. & \hspace{0.5cm} \frac{1}{16} + \frac{1}{32} = \underline{\hspace{1.5cm}} \\[10pt] 10. & \hspace{0.5cm} \frac{1}{35} + \frac{1}{7} = \underline{\hspace{1.5cm}} & & 20. & \hspace{0.5cm} \frac{1}{18} + \frac{1}{27} = \underline{\hspace{1.5cm}} \\[10pt] \end{align*} \]

    Time: \( \underline{\hspace{1.5cm}}\)

    \[ \begin{align*} 1. & \hspace{0.5cm} \frac{1}{20} - \frac{1}{16} = \underline{\hspace{1.5cm}} & \hspace{2cm} & 11. & \hspace{0.5cm} \frac{1}{3} - \frac{1}{5} = \underline{\hspace{1.5cm}} \\[10pt] 2. & \hspace{0.5cm} \frac{1}{24} - \frac{1}{8} = \underline{\hspace{1.5cm}} & & 12. & \hspace{0.5cm} \frac{1}{12} - \frac{1}{9} = \underline{\hspace{1.5cm}} \\[10pt] 3. & \hspace{0.5cm} \frac{1}{3} - \frac{1}{36} = \underline{\hspace{1.5cm}} & & 13. & \hspace{0.5cm} \frac{1}{5} - \frac{1}{9} = \underline{\hspace{1.5cm}} \\[10pt] 4. & \hspace{0.5cm} \frac{1}{32} - \frac{1}{8} = \underline{\hspace{1.5cm}} & & 14. & \hspace{0.5cm} \frac{1}{7} - \frac{1}{8} = \underline{\hspace{1.5cm}} \\[10pt] 5. & \hspace{0.5cm} \frac{1}{28} - \frac{1}{14} = \underline{\hspace{1.5cm}} & & 15. & \hspace{0.5cm} \frac{1}{35} - \frac{1}{5} = \underline{\hspace{1.5cm}} \\[10pt] 6. & \hspace{0.5cm} \frac{1}{8} - \frac{1}{16} = \underline{\hspace{1.5cm}} & & 16. & \hspace{0.5cm} \frac{1}{2} - \frac{1}{10} = \underline{\hspace{1.5cm}} \\[10pt] 7. & \hspace{0.5cm} \frac{1}{10} - \frac{1}{7} = \underline{\hspace{1.5cm}} & & 17. & \hspace{0.5cm} \frac{1}{20} - \frac{1}{7} = \underline{\hspace{1.5cm}} \\[10pt] 8. & \hspace{0.5cm} \frac{1}{35} - \frac{1}{4} = \underline{\hspace{1.5cm}} & & 18. & \hspace{0.5cm} \frac{1}{15} - \frac{1}{30} = \underline{\hspace{1.5cm}} \\[10pt] 9. & \hspace{0.5cm} \frac{1}{6} - \frac{1}{4} = \underline{\hspace{1.5cm}} & & 19. & \hspace{0.5cm} \frac{1}{28} - \frac{1}{10} = \underline{\hspace{1.5cm}} \\[10pt] 10. & \hspace{0.5cm} \frac{1}{3} - \frac{1}{33} = \underline{\hspace{1.5cm}} & & 20. & \hspace{0.5cm} \frac{1}{10} - \frac{1}{6} = \underline{\hspace{1.5cm}} \\[10pt] \end{align*} \]

    Time: \( \underline{\hspace{1.5cm}}\)

    \[ \begin{align*} 1. & \hspace{0.5cm} \frac{1}{2} \times \frac{2}{3} = \underline{\hspace{1.5cm}} & \hspace{2cm} & 21. & \hspace{0.5cm} \frac{3}{4} \times \frac{1}{5} = \underline{\hspace{1.5cm}} \\[10pt] 2. & \hspace{0.5cm} \frac{2}{5} \times \frac{3}{4} = \underline{\hspace{1.5cm}} & & 22. & \hspace{0.5cm} \frac{5}{6} \times \frac{1}{3} = \underline{\hspace{1.5cm}} \\[10pt] 3. & \hspace{0.5cm} \frac{4}{7} \times \frac{2}{5} = \underline{\hspace{1.5cm}} & & 23. & \hspace{0.5cm} \frac{3}{8} \times \frac{1}{6} = \underline{\hspace{1.5cm}} \\[10pt] 4. & \hspace{0.5cm} \frac{3}{5} \times \frac{1}{2} = \underline{\hspace{1.5cm}} & & 24. & \hspace{0.5cm} \frac{4}{9} \times \frac{2}{3} = \underline{\hspace{1.5cm}} \\[10pt] 5. & \hspace{0.5cm} \frac{2}{3} \times \frac{3}{4} = \underline{\hspace{1.5cm}} & & 25. & \hspace{0.5cm} \frac{1}{2} \times \frac{2}{3} = \underline{\hspace{1.5cm}} \\[10pt] 6. & \hspace{0.5cm} \frac{5}{6} \times \frac{2}{5} = \underline{\hspace{1.5cm}} & & 26. & \hspace{0.5cm} \frac{3}{4} \times \frac{1}{2} = \underline{\hspace{1.5cm}} \\[10pt] 7. & \hspace{0.5cm} \frac{4}{9} \times \frac{1}{3} = \underline{\hspace{1.5cm}} & & 27. & \hspace{0.5cm} \frac{1}{3} \times \frac{2}{5} = \underline{\hspace{1.5cm}} \\[10pt] 8. & \hspace{0.5cm} \frac{3}{8} \times \frac{2}{7} = \underline{\hspace{1.5cm}} & & 28. & \hspace{0.5cm} \frac{2}{3} \times \frac{1}{4} = \underline{\hspace{1.5cm}} \\[10pt] 9. & \hspace{0.5cm} \frac{1}{2} \times \frac{3}{5} = \underline{\hspace{1.5cm}} & & 29. & \hspace{0.5cm} \frac{2}{5} \times \frac{3}{8} = \underline{\hspace{1.5cm}} \\[10pt] 10. & \hspace{0.5cm} \frac{3}{7} \times \frac{2}{3} = \underline{\hspace{1.5cm}} & & 30. & \hspace{0.5cm} \frac{1}{6} \times \frac{4}{9} = \underline{\hspace{1.5cm}} \\[10pt] 11. & \hspace{0.5cm} \frac{1}{3} \times \frac{4}{7} = \underline{\hspace{1.5cm}} & & 31. & \hspace{0.5cm} \frac{3}{8} \times \frac{3}{4} = \underline{\hspace{1.5cm}} \\[10pt] 12. & \hspace{0.5cm} \frac{2}{5} \times \frac{1}{2} = \underline{\hspace{1.5cm}} & & 32. & \hspace{0.5cm} \frac{5}{6} \times \frac{1}{4} = \underline{\hspace{1.5cm}} \\[10pt] 13. & \hspace{0.5cm} \frac{3}{4} \times \frac{1}{3} = \underline{\hspace{1.5cm}} & & 33. & \hspace{0.5cm} \frac{4}{5} \times \frac{3}{8} = \underline{\hspace{1.5cm}} \\[10pt] 14. & \hspace{0.5cm} \frac{1}{2} \times \frac{3}{4} = \underline{\hspace{1.5cm}} & & 34. & \hspace{0.5cm} \frac{2}{3} \times \frac{2}{7} = \underline{\hspace{1.5cm}} \\[10pt] 15. & \hspace{0.5cm} \frac{3}{5} \times \frac{2}{3} = \underline{\hspace{1.5cm}} & & 35. & \hspace{0.5cm} \frac{3}{4} \times \frac{3}{5} = \underline{\hspace{1.5cm}} \\[10pt] 16. & \hspace{0.5cm} \frac{2}{3} \times \frac{1}{4} = \underline{\hspace{1.5cm}} & & 36. & \hspace{0.5cm} \frac{2}{5} \times \frac{1}{3} = \underline{\hspace{1.5cm}} \\[10pt] 17. & \hspace{0.5cm} \frac{3}{8} \times \frac{1}{5} = \underline{\hspace{1.5cm}} & & 37. & \hspace{0.5cm} \frac{1}{2} \times \frac{3}{7} = \underline{\hspace{1.5cm}} \\[10pt] 18. & \hspace{0.5cm} \frac{4}{9} \times \frac{3}{4} = \underline{\hspace{1.5cm}} & & 38. & \hspace{0.5cm} \frac{2}{3} \times \frac{2}{5} = \underline{\hspace{1.5cm}} \\[10pt] 19. & \hspace{0.5cm} \frac{2}{5} \times \frac{4}{7} = \underline{\hspace{1.5cm}} & & 39. & \hspace{0.5cm} \frac{1}{4} \times \frac{2}{9} = \underline{\hspace{1.5cm}} \\[10pt] 20. & \hspace{0.5cm} \frac{1}{3} \times \frac{5}{8} = \underline{\hspace{1.5cm}} & & 40. & \hspace{0.5cm} \frac{3}{7} \times \frac{1}{4} = \underline{\hspace{1.5cm}} \\[10pt] \end{align*} \]

    Time: \( \underline{\hspace{1.5cm}}\)


    Fractions Drills is shared under a CC BY-NC-SA license and was authored, remixed, and/or curated by LibreTexts.

    • Was this article helpful?