Fractions by wTSxt1e

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									  Fractions
By Jamie Ireland
              Fraction Parts

   There are two parts to every fraction.
    – The numerator is the number on the top
      of the fraction.
          Example: ¾; 3 is the numerator.
    – The denominator is the number on
      bottom of the fraction.
          Example: ¾; 4 is the denominator.
How to say the Fractions
   To say the fraction you must first name it.
   Take ¾. This is pronounced three fourths.
   If you have 5/6, you would pronounce it five
    sixths.
   You have units, which are numbers like
    1,2,3… Then you have half (halves if plural)
    and then thirds.
   After thirds you add a th to the denominator
    when you name the fractions.
THE THREE QUESTIONS
   There are three questions which you should
    ask yourself when dealing with fractions.
    – 1. What is the unit?
          If you have a candy bar the whole candy bar is the
           unit. Same if you have a piece of paper.
    – 2. How many pieces are in the unit?
          If the candy bar is in three pieces then there are three
           pieces in the unit. If the paper is in four pieces then
           there is four pieces in the unit.
    – 3. Are the pieces the same size?
          The pieces must be the of equal size.
                    Halves

   If you cut an object
    into two equal
    parts, then each
    part is a half of the
    object.
   Half can be written
    like this: ½.
Fourths
       An object can be split
        into fourths if you split
        the object into four
        equal parts.
       Take a piece of paper
        and fold it in half.
        Then fold it in half
        again and the paper
        will be in fourths.
                     Naming Fractions
   The three questions help
    you to name the fractions.
   You count how many parts
    there are all together and
    that number is your
    denominator.
     – The number of equal parts
       of the unit leads to the
       name half, third, or
       whatever the number is.
            In this case it is fourths.
             ?/4
   Then you count how many
    parts are shaded or colored.
    That is your numerator. ¼


For more information: http://www.aaamath.com/B/fra16_x2.htm
               More Facts
   Now that you know how to name fractions,
    you should know the different types of
    fractions.
   A fraction with a bigger number in the
    numerator is called an improper fraction.
    – Example 4/3
   A fraction that has a whole number in front
    of it is called a mixed number.
    – Example 1 ½
How do you say fractions
greater than one and mixed
numbers.
   For fractions greater than one you say
    it like a regular fractions.
    – Example: 5/3 say it five thirds
   For mixed numbers you say the whole
    number and say an “and” and then
    say the fraction.
    – Example 2 ½ you say it two and a half.
Adding Fractions
           When adding fraction
            the denominator stays
            the same.
           So if you add 1/3 +
            1/3, the denominator
            will stay at 3.
           Then you add the top
            numbers together to
            get the numerator.
            1+1=2
           So the answer is 2/3.
Another Practice Problem




     CLICK HERE:
    Adding Fractions
Adding mixed numbers and
fractions greater than one.
   You add fractions greater than one just like
    you add any other fractions
    – Example 4/3 + 1/3 = 5/3
   To add mixed numbers you can add the
    whole numbers first and then the fractions.
    – 1 1/4 + 1 ¼ you can add the ones together 1+1
      = 2 then the fractions  ¼ + ¼ = 2/4. The
      answer would be 2 2/4.
Equivalent Fractions
             Any fraction that has the
              same number in the
              denominator and the
              numerator equals one.
               – Example: 2/2=1
             To get an equivalent
              fraction for any fraction,
              you can multiple the
              denominator and the
              numerator by the same
              number.
               – Example: ½*2/2=2/4
       Converting whole
      numbers to fractions
   REMEMBER THAT ANY WHOLE
    NUMBER IS A FRACTION.
   The whole number is on top of the
    fractions while one is on the bottom.
    – Examples
        1 = 1/1
        4 = 4/1
Equivalent fractions for
whole numbers
   Remember to multiply the top and
    bottom numbers by the same number.
    – Example
         4 = 4/1
                 4/1 *2/2 =8/2
Converting Mixed Numbers
to Fractions Greater Than
One
   IF you have 1 ½ then to convert it to a
    fraction greater than one, you have to
    multiply the whole number to a fraction with
    the same denominator as the fraction in the
    problem so that you can add them together.
    – Example 1 ½
          1 * 2/2=2/2
          2/2 + ½ = 3/2
          1 ½ = 3/2
Converting fractions greater
than one to a mixed number
   If you have 4/3 and
    you want to convert
    it to a mixed
    number, then you
    can draw a picture
    like this.
   As you can see the
    mixed number
    would be 1 1/3.
Another way to convert
fractions greater than one
to a mixed number.
   You could also do this by figuring out how many
    times the denominator goes into the numerator.
    That would be the whole number and what was left
    would be the fraction.
    – Example 6/4
    – Four goes into 6 once, with two left. That two left goes
      over the four. The fraction is 1 ¼.
   Also if you have a fraction like 2 6/5, you can make
    that into a fraction like 3 1/5.
    – You simply add the whole numbers from the fractions to
      the whole number in front of the fraction.
           2 6/5 ; 6/5 = 1 1/5; 1+2=3; 2 6/5 =3 1/5
      Adding Fractions with
      Unlike Denominators
   First you have to make the
    fractions have the same
    denominator.
   To make ½ into fourths you
    have to multiply both the
    top and bottom numbers by
    2. ½*2/2=2/4
   Now that both fractions
    have the same denominator
    you can add them.
   2/4 + 2/4 = 4/4
   And you know that 4/4=1.
      Subtracting Fractions
   To subtract two fractions,
    the denominator of both
    fractions have to be the
    same.
   The denominator will have
    the same number as it did
    before you subtracted. In
    this case it is 4.
   The numerator is the first
    numerator minus the
    second numerator.
    – Example: 2-1=1
   The answer would be ¼.

                   Another example
            Subtracting mixed
                numbers
   To subtract a mixed number you must first convert
    it to a fraction greater than one.
    – Example 2 ½ - 2/2
           Remember that 2 is 2/1. 2/1 * 2/2 =4/2
           Then you add that to the fraction 4/2+1/2=5/2
           Then you subtract 5/2-2/2 = 3/2
   You can also convert it to 1 3/2, by only converting
    one of the whole numbers.
   When you are subtracting two mixed numbers you
    should subtract the fraction part first then subtract
    the whole numbers.
    – Example 1 2/3 – 1 1/3; 2/3 – 1/3 = 1/3; 1 – 1 = 0 so
      1 2/3 – 1 1/3 = 1/3
     For More Information

   This website uses circles and number
    lines to teach fractions.
    http://www.visualfractions.com/
   This site provides help in finding the
    least common multiple for renaming
    fractions. http://www.mathleague.com
              A Good Source

   Mathematics learning in early
    childhood- There is a chapter in there
    that talks about fractions which was
    written by Arthur F. Coxford and
    Lawrence W. Ellerbruch.
          This book is sometimes referred to as the
           thirty-seventh yearbook.

								
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