Fractions and Percentages Mid Chapter Test

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Questions and Answers

What is 1/5 as a percentage?

  • 12.5%
  • 20% (correct)
  • 25%
  • 33.3%

What is 1/3 as a percentage?

  • 33.3% (correct)
  • 50%
  • 25%
  • 30%

What is 1/6 as a percentage?

  • 20%
  • 15%
  • 10%
  • 16.6% (correct)

What is 1/8 as a percentage?

<p>12.5% (C)</p> Signup and view all the answers

What is 25% as a fraction?

<p>1/4 (D)</p> Signup and view all the answers

What is 20% as a fraction?

<p>1/5 (C)</p> Signup and view all the answers

What is 10% as a fraction?

<p>1/10 (B)</p> Signup and view all the answers

What is 12 1/2% as a fraction?

<p>1/8 (A)</p> Signup and view all the answers

What is 16 2/3% as a fraction?

<p>1/6 (A)</p> Signup and view all the answers

What is 37 1/2% as a fraction?

<p>3/8 (B)</p> Signup and view all the answers

What is 62 1/2% as a fraction?

<p>5/8 (A)</p> Signup and view all the answers

What is 87 1/2% as a fraction?

<p>7/8 (B)</p> Signup and view all the answers

What is 33 1/3% as a fraction?

<p>1/3 (D)</p> Signup and view all the answers

What is 66 2/3% as a fraction?

<p>2/3 (C)</p> Signup and view all the answers

What is 88 1/3% as a fraction?

<p>5/6 (D)</p> Signup and view all the answers

How do you calculate 10% of something?

<p>Move decimal 1 space left from end.</p> Signup and view all the answers

How do you calculate 100% of something?

<p>Move decimal 2 spaces left from end.</p> Signup and view all the answers

How do you calculate 1000% of something?

<p>Move decimal 3 spaces left from end.</p> Signup and view all the answers

What does divide by 100 equal?

<p>Multiply by 1/100.</p> Signup and view all the answers

How do you convert a fraction to a percent?

<p>Convert fraction to decimal then multiply by 100.</p> Signup and view all the answers

How do you convert a percentage to a decimal?

<p>Divide by 100 and move decimal 2 places left.</p> Signup and view all the answers

How do you convert a decimal to a percentage?

<p>Multiply by 100 and move decimal 2 places right.</p> Signup and view all the answers

What does 'is/of' equal?

<p>%/100.</p> Signup and view all the answers

What does 'Part/Whole' equal?

<p>%/100.</p> Signup and view all the answers

What is 75% of 16?

<ol start="12"> <li></li> </ol> Signup and view all the answers

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Study Notes

Fraction to Percentage Equivalents

  • 1/5 is equivalent to 20%
  • 1/3 is equivalent to 33.3%
  • 1/6 is equivalent to 16.6%
  • 1/8 is equivalent to 12.5%
  • 1/4 is equivalent to 25%
  • 1/5 is also equivalent to 20% (repeated for clarity)
  • 1/10 is equivalent to 10%
  • 1/8 is also 12.5% (repeated for clarity)
  • 1/6 is also 16.6% (repeated for clarity)
  • 3/8 is equivalent to 37.5%
  • 5/8 is equivalent to 62.5%
  • 7/8 is equivalent to 87.5%
  • 1/3 translates to 33.3%
  • 2/3 translates to 66.7%
  • 5/6 is equivalent to 83.3%

Percentage Calculations

  • 10% of a number involves moving the decimal point one space left.
  • 100% of a number involves moving the decimal point two spaces left.
  • 1000% of a number involves moving the decimal point three spaces left.

Conversions and Calculations

  • To divide by 100, multiply by 1/100.
  • To convert a fraction to a percent, first convert the fraction to a decimal and then multiply by 100.
  • To convert a percentage to a decimal, divide by 100 and move the decimal point two places left.
  • To convert a decimal to a percentage, multiply by 100 and move the decimal point two places right.
  • The expression "is/of" can be represented as %/100.
  • The part over the whole can also be represented as %/100.
  • Example calculation: 75% of 16 is calculated as 3/4 x 16/1, yielding a result of 12.

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