Fractions, Decimals, and Percentages

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Fractions, Decimals, and Percentages

• mstrohm_at_nmu.edu

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Fractions

• A fraction is part of something that we have.
• For example, if you have a whole pie, and divide
  it into two even pieces, one piece would be
  called ½ of the pie.
• If you divide ½ of the pie into two even pieces,
  one piece would be considered ¼ of the whole pie.

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Numerators and Denominators

• A fraction has two parts a numerator and a
  denominator.
• The number at the top of the fraction is the
  numerator. The number 1 is the numerator of the
  fraction ½.
• The number at the bottom of the fraction is the
  denominator. The number 2 is the denominator of
  the fraction ½.

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Decimals

• When you divide the numerator by the denominator
  you will get a decimal.
• If you cut a pie into 4 equal pieces, each piece
  is then ¼ of the pie. If you divide 1 by 4 you
  get .25.
• Since you have 4 pieces that are equal to .25,
  then if you add all four pieces together you
  should get 1.
• .25 .25 .25 .25 1

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Percentages

• Once you have the decimal, you can turn that into
  a percentage.
• ¼ of the pie is equal to .25.
• Now if you move the decimal to the right two
  places you get 25.
• This means that ¼ of the pie is the same as 25
  of the pie.

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Turning Decimals into Fractions

• Just like you can turn a fraction into a decimal,
  you can turn a decimal into a fraction.
• Say you have a decimal that is .25.
• To turn this into a fraction, first you multiply
  it by 100. You will get 25.
• Then use 25 as a numerator and 100 as a
  denominator. 25/100.
• Now you reduce the fraction.
• After doing this you will get ¼.

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Turning Percentages into Fractions

• Lets say that you have 50 of a pie left. We can
  turn this percentage into a fraction.
• All you have to do is to put the percentage
  number over 100 and then reduce it.
• 50/100 ½

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Want to learn more?

• For more information try visiting some of these
  websites.
• You can also try playing one of these games.

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Now try this worksheet to see what youve learned!

• Worksheet
• Worksheet Answers