Answer Key: Self-Test C-1.1.5

  1. Express the following percentages as fractions and as decimals:

Percentage

Fraction

Decimal

a.

70%

[latex]\frac{7}{10}[/latex]

0.7

b.

58%

[latex]\frac{29}{50}[/latex]

0.58

c.

1.0%

[latex]\frac{1}{100}[/latex]

0.01

d.

0.01%

[latex]\frac{1}{10,000}[/latex]

0.0001

e.

87%

[latex]\frac{87}{100}[/latex]

0.87

  1. Express the following fractions as decimals and as percentages:

Fraction

Decimal

Percentage

a.

[latex]\frac{3}{8}[/latex]

0.375

37.5%

b.

[latex]\frac{3}{16}[/latex]

0.1875

18.75%

c.

[latex]\frac{5}{32}[/latex]

0.15625

15.625%

d.

[latex]4\frac{11}{16}[/latex]

4.6875

468.75%

e.

[latex]\frac{2}{3}[/latex]

0.667

66.7%

  1. Express the following decimals as fractions and as percentages:

Decimal

Fraction

Percentage

a.

0.65

[latex]\frac{13}{20}[/latex]

65%

b.

0.20

[latex]\frac{1}{5}[/latex]

20%

c.

1.333

[latex]1\frac{1}{3}[/latex]

133%

d.

1.625

[latex]1\frac{5}{8}[/latex]

162.5%

e.

2.790

[latex]2\frac{79}{100}[/latex]

279%

  1. What is 76% of 2,189?
    1. 1,663.64
  2. What is 64% of 7,700?
    1. 4,928
  3. What is 67.5% more than 48?
    1. 80.4
  4. What is 15% less than 223?
    1. 189.55
  5. What % of 1,900 is 133?
    1. 7%
  6. What % of 7,600 is 6,764?
    1. 89%
  7. Which is larger? Use < , > or = for each pair

46% of 86 > 43% of 26

6% of 55 < 40% of 62

30% of 84 > 64% of 10

34% of 97 > 46% of 36

68% of 72 > 41% of 45

46% of 20 < 29% of 49

86% of 40 > 57% of 55

49% of 93 > 50% of 77

  1. What would be your wage if a journeyman plumber earns $37.50/hr and you earn 55% of what they do?
    1. $20.63
  2. A [latex]1 \frac{1}{2}\text{"}[/latex] P-trap at the wholesaler now sells for $9.75, and a price increase of 8% will take effect next week. What will the same fitting cost after the increase?
    1. $10.53
  3. A gas-fired furnace is 93% efficient. If the appliance input is 78,000 BTUH, what is the output?
    1. 72,540 BTUH

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