Answer Key: Self-Test C-1.1.3

  1. Add the following fractions. Change improper fractions to mixed numbers.
    1. [latex]1\frac{1}{4}[/latex]
    2. [latex]\frac{17}{20}[/latex]
    3. [latex]1\frac{13}{20}[/latex]
    4. [latex]1\frac{1}{6}[/latex]
    5. [latex]1\frac{1}{5}[/latex]
    6. [latex]\frac{7}{10}[/latex]
    7. [latex]1\frac{5}{8}[/latex]
    8. [latex]1\frac{9}{16}[/latex]
    9. [latex]1\frac{13}{18}[/latex]
    10. [latex]2\frac{5}{32}[/latex]
    11. [latex]1\frac{9}{64}[/latex]
  2. Subtract the following fractions:
    1. [latex]\frac{5}{18}[/latex]
    2. [latex]\frac{11}{28}[/latex]
    3. [latex]\frac{1}{15}[/latex]
    4. [latex]\frac{5}{14}[/latex]
    5. [latex]\frac{1}{3}[/latex]
    6. [latex]\frac{5}{29}[/latex]
    7. [latex]\frac{1}{55}[/latex]
    8. [latex]\frac{5}{43}[/latex]
    9. [latex]\frac{2}{21}[/latex]
    10. [latex]\frac{45}{76}[/latex]
    11. [latex]\frac{1}{11}[/latex]
    12. [latex]\frac{9}{16}[/latex]
  3. Multiply the following sets of fractions and reduce to lowest terms:
    1. [latex]\frac{2}{5}[/latex]
    2. [latex]\frac{1}{21}[/latex]
    3. [latex]\frac{1}{6}[/latex]
    4. [latex]\frac{1}{7}[/latex]
    5. [latex]\frac{21}{40}[/latex]
    6. [latex]\frac{30}{49}[/latex]
    7. [latex]\frac{7}{30}[/latex]
    8. [latex]\frac{1}{28}[/latex]
    9. [latex]\frac{35}{72}[/latex]
    10. [latex]\frac{1}{2}[/latex]
    11. [latex]\frac{3}{64}[/latex]
    12. [latex]\frac{63}{128}[/latex]
    13. [latex]\frac{9}{28}[/latex]
  4. Cancel, multiply and reduce to lowest terms:
    1. [latex]3\frac{3}{14}[/latex]
    2. [latex]\frac{13}{20}[/latex]
    3. [latex]9\frac{3}{4}[/latex]
    4. [latex]14\frac{1}{7}[/latex]
    5. [latex]\frac{14}{15}[/latex]
    6. [latex]\frac{15}{22}[/latex]
    7. [latex]1\frac{17}{48}[/latex]
    8. [latex]2\frac{7}{24}[/latex]
  5. Divide the fractions and cancel where possible:
    1. [latex]\frac{3}{56}[/latex]
    2. [latex]\frac{1}{15}[/latex]
    3. [latex]\frac{19}{60}[/latex]
    4. [latex]\frac{3}{5}[/latex]
    5. [latex]\frac{7}{26}[/latex]
    6. [latex]1\frac{11}{40}[/latex]
  6. Twelve (12) galvanized nipples of equal length are cut from a piece of pipe [latex]66 \frac{3}{4} \text{ in.}[/latex] long. How long is each nipple?
    1. [latex]5 \text{ ft.} \frac{9}{16}\text{ in. or } 89 \text{ in.}[/latex]
  7. A print shows a chase with two (2) 6-in. lines (O.D. = [latex]6\frac{5}{8}\text{"}[/latex]) a [latex]\frac{11}{2}[/latex]-in. line (O.D. = [latex]1\frac{3}{4}\text{"}[/latex]) and a 3-in. line (O.D. = [latex]3\frac{1}{2}\text{"}[/latex]). How wide must the hole be to result in there being [latex]\frac{11}{2}\text{ in.}[/latex] clearance between lines and 2 in. at each end?
    1. [latex]27 \text{ in.}[/latex]
  8. The job foreman instructs you to cut and thread 2-in. pipe to the following lengths: [latex]2 \text{ ft. } 5\frac{1}{2}\text{ in.}[/latex]; [latex]9 \text{ ft. } 6\frac{1}{8}\text{ in.}[/latex]; [latex]4 \text{ ft. } 0\text{ in.}[/latex]; and [latex]5 \text{ ft. } 9\frac{5}{8}\text{ in.}[/latex]
    1. Will one length of 21 ft. 2 in. be enough?
      1. No
    2. How much pipe will you be short or over?
      1. Short by [latex]7\frac{1}{4}\text{ in.}[/latex]

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