Answer Key 1.2

  1. [latex]\dfrac{42}{12}\div\dfrac{6}{6} = \dfrac{7}{2}[/latex]
  2. [latex]\dfrac{25}{20}\div\dfrac{5}{5} = \dfrac{5}{4}[/latex]
  3. [latex]\dfrac{35}{25}\div\dfrac{5}{5} = \dfrac{7}{5}[/latex]
  4. [latex]\dfrac{24}{8}\div\dfrac{8}{8} = 3[/latex]
  5. [latex]\dfrac{54}{36}\div\dfrac{9}{9} = \dfrac{6}{4}\div\dfrac{2}{2} = \dfrac{3}{2}[/latex]
  6. [latex]\dfrac{30}{24}\div \dfrac{6}{6} = \dfrac{5}{4}[/latex]
  7. [latex]\dfrac{45}{36}\div \dfrac{9}{9} = \dfrac{5}{4}[/latex]
  8. [latex]\dfrac{36}{27}\div\dfrac{9}{9} = \dfrac{4}{3}[/latex]
  9. [latex]\dfrac{27}{18}\div\dfrac{9}{9} = \dfrac{3}{2}[/latex]
  10. [latex]\dfrac{48}{18}\div\dfrac{6}{6} = \dfrac{8}{3}[/latex]
  11. [latex]\dfrac{40}{16}\div\dfrac{8}{8} = \dfrac{5}{2}[/latex]
  12. [latex]\dfrac{48}{42}\div \dfrac{6}{6} = \dfrac{8}{7}[/latex]
  13. [latex]\dfrac{63}{18}\div\dfrac{9}{9} = \dfrac{7}{2}[/latex]
  14. [latex]\dfrac{16}{12}\div\dfrac{4}{4} = \dfrac{4}{3}[/latex]
  15. [latex]\dfrac{80}{60} \div\dfrac{20}{20} = \dfrac{4}{3}[/latex]
  16. [latex]\dfrac{72}{48}\div\dfrac{12}{12} = \dfrac{6}{4}\div\dfrac{2}{2} = \dfrac{3}{2}[/latex]
  17. [latex]\dfrac{72}{60}\div\dfrac{12}{12} = \dfrac{6}{5}[/latex]
  18. [latex]\dfrac{126}{108}\div\dfrac{9}{9} = \dfrac{14}{12}\div\dfrac{2}{2} = \dfrac{7}{6}[/latex]
  19. [latex]\cancel{9} \cdot \dfrac{8}{\cancel{9}} =  8[/latex]
  20. [latex]\cancel{-2}-1\cdot -\dfrac{5}{\cancel{6}3}=\dfrac{5}{3}[/latex]
  21. [latex]2 \cdot -\dfrac{2}{9} = -\dfrac{4}{9}[/latex]
  22. [latex]-2\cdot \dfrac{1}{3}=-\dfrac{2}{3}[/latex]
  23. [latex]\cancel{-2}-1\cdot \dfrac{13}{\cancel{8}4}=-\dfrac{13}{4}[/latex]
  24. [latex]\dfrac{3}{2} \cdot \dfrac{1}{2} = \dfrac {3}{4}[/latex]
  25. [latex]-\dfrac{\cancel{6}3}{5}\cdot -\dfrac{11}{\cancel{8}4}=\dfrac{33}{20}[/latex]
  26. [latex]-\dfrac{3}{7} \cdot -\dfrac{11}{8} = \dfrac{33}{56}[/latex]
  27. [latex]\cancel{8}4 \cdot \dfrac{1}{\cancel{2}1} = 4[/latex]
  28. [latex]-2 \cdot -\dfrac{9}{7} = \dfrac{18}{7}[/latex]
  29. [latex]\dfrac{\cancel{2}1}{\cancel{3}1} \cdot \dfrac{\cancel{3}1}{\cancel{4}2} = \dfrac {1}{2}[/latex]
  30. [latex]-\dfrac{17}{\cancel{9}3} \cdot -\dfrac{\cancel{3}1}{5} = \dfrac{17}{15}[/latex]
  31. [latex]\cancel{2}1 \cdot \dfrac{3}{\cancel{2}1} = 3[/latex]
  32. [latex]\dfrac{17}{\cancel{9}3} \cdot -\dfrac{\cancel{3}1}{5} = -\dfrac{17}{15}[/latex]
  33. [latex]\dfrac{1}{2} \cdot -\dfrac{7}{5} = -\dfrac{7}{10}[/latex]
  34. [latex]\dfrac{1}{2} \cdot \dfrac{5}{7} = \dfrac{5}{14}[/latex]
  35. [latex]\dfrac{\cancel{5}1}{2} \cdot -\dfrac{0}{\cancel{5}1} = -\dfrac{0}{2}\text{ or }0[/latex]
  36. [latex]\underbrace{\dfrac{6}{0}}_{\text{undefined}} \cdot \hspace{0.25in}\dfrac{6}{7} = \text{no solution}[/latex]
  37. [latex]-2 \cdot \dfrac{4}{7} = -\dfrac{8}{7}[/latex]
  38. [latex]-\dfrac{\cancel{12}4}{7} \cdot -\dfrac{5}{\cancel{9}3} = \dfrac{20}{21}[/latex]
  39. [latex]-\dfrac{1}{9} \cdot -\dfrac{2}{1} = \dfrac{2}{9}[/latex]
  40. [latex]-2 \cdot -\dfrac{2}{3} = \dfrac{4}{3}[/latex]
  41. [latex]-\dfrac{3}{2} \cdot \dfrac{7}{13} = -\dfrac{21}{26}[/latex]
  42. [latex]\dfrac{5}{3} \cdot \dfrac{5}{7} = \dfrac{25}{21}[/latex]
  43. [latex]-1 \cdot \dfrac{3}{2} = -\dfrac{3}{2}[/latex]
  44. [latex]\dfrac{\cancel{10}5}{9} \cdot -\dfrac{1}{\cancel{6}3} = -\dfrac{5}{27}[/latex]
  45. [latex]\dfrac{8}{9} \cdot \dfrac{5}{1} = \dfrac{40}{9}[/latex]
  46. [latex]\dfrac{1}{\cancel{6}2} \cdot -\dfrac{\cancel{3}1}{5} = -\dfrac{1}{10}[/latex]
  47. [latex]-\dfrac{9}{7} \cdot \dfrac{5}{1} = -\dfrac{45}{7}[/latex]
  48. [latex]-\dfrac{13}{\cancel{8}1} \cdot -\dfrac{\cancel{8}1}{15} = \dfrac{13}{15}[/latex]
  49. [latex]-\dfrac{2}{9} \cdot -\dfrac{2}{3} = \dfrac{4}{27}[/latex]
  50. [latex]-\dfrac{4}{5} \cdot -\dfrac{8}{13} = \dfrac{32}{65}[/latex]
  51. [latex]\dfrac{1}{\cancel{10}5} \cdot \dfrac{\cancel{2}1}{3} = \dfrac{1}{15}[/latex]
  52. [latex]\dfrac{\cancel{5}1}{\cancel{3}1} \cdot \dfrac{\cancel{3}1}{\cancel{5}1} = 1[/latex]
  53. [latex]\dfrac{1}{3}-\dfrac{4}{3} = -\dfrac{3}{3}\text{ or }-1[/latex]
  54. [latex]\dfrac{1}{7}-\dfrac{11}{7} = -\dfrac{10}{7}[/latex]
  55. [latex]\dfrac{3}{7} - \dfrac{1}{7} = \dfrac{2}{7}[/latex]
  56. [latex]\dfrac{1}{3} + \dfrac{5}{3} = \dfrac{6}{3}\text{ or }2[/latex]
  57. [latex]\dfrac{11}{6} + \dfrac{7}{6} = \dfrac{18}{6}\text{ or }3[/latex]
  58. [latex]-2 - \dfrac{15}{8} \Rightarrow -\dfrac{16}{8} - \dfrac{15}{8} = -\dfrac{31}{8}[/latex]
  59. [latex]\dfrac{3}{5}+ \dfrac{5}{4} \Rightarrow \dfrac{12}{20} + \dfrac{25}{20} = \dfrac {37}{20}[/latex]
  60. [latex]-1- \dfrac{2}{3} \Rightarrow -\dfrac{3}{3} - \dfrac{2}{3} = -\dfrac{5}{3}[/latex]
  61. [latex]\dfrac{2}{5}+ \dfrac{5}{4} \Rightarrow \dfrac{8}{20} + \dfrac{25}{20} = \dfrac {33}{20}[/latex]
  62. [latex]\dfrac{12}{7} - \dfrac{9}{7} = \dfrac{3}{7}[/latex]
  63. [latex]\dfrac{9}{8}- \dfrac{2}{7} \Rightarrow \dfrac {63}{56} - \dfrac{16}{56} = \dfrac {47}{56}[/latex]
  64. [latex]-2+ \dfrac{5}{6} \Rightarrow -\dfrac{12}{6} + \dfrac{5}{6} = -\dfrac{7}{6}[/latex]
  65. [latex]1-\dfrac{1}{3} \Rightarrow \dfrac{3}{3} - \dfrac{1}{3} = \dfrac{2}{3}[/latex]
  66. [latex]\dfrac{1}{2} - \dfrac{11}{6} \Rightarrow \dfrac{3}{6} - \dfrac {11}{6} = -\dfrac{8}{6} \text{ or } -\dfrac{4}{3}[/latex]
  67. [latex]-\dfrac{1}{2} + \dfrac{3}{2} = \dfrac{2}{2}\text{ or }1[/latex]
  68. [latex]\dfrac{11}{8} - \dfrac{1}{22} \Rightarrow \dfrac{121}{88} - \dfrac{4}{88} = \dfrac{117}{88}[/latex]
  69. [latex]\dfrac{1}{5} + \dfrac{3}{4} \Rightarrow \dfrac{4}{20} + \dfrac {15}{20} = \dfrac {19}{20}[/latex]
  70. [latex]\dfrac{6}{5} - \dfrac{8}{5} = -\dfrac{2}{5}[/latex]

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Intermediate Algebra (Convert to MathJax) Copyright © 2020 by Terrance Berg is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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