Adding  Fractions
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Adding Fractions

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Adding Fractions with Different Denominators

Adding Fractions with Different Denominators

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Adding  Fractions Adding Fractions Presentation Transcript

  • Norm Frankenberger
    Adding Fractions
    +
    With Different Denominators
    Adding Fractions
  • Adding Fractions
    Norm Frankenberger
    Summary Slide
    Why Adding Fractions Is Important?
    Identifying the Parts of a Fraction
    The Most Important Rule
    What If the Fractions You’re Adding Have Different Denominators
    Choosing a Common Denominator
    Converting Fractions to Equivalents
    Equivalent Fractions
  • Why Adding Fractions Is Important?
    In March 2008, a presidential panel reported after a two year study that “schools could improve students’ math scores by hammering home the basics, such as addition and multiplication, and then increasing the focus on fractions and geometry.
    In addition the report stated…
    Adding Fractions
    Norm Frankenberger
  • Adding Fractions
    Norm Frankenberger
    “Difficulty with fractions (including decimals and percents) is pervasive and is a major obstacle to further progress in mathematics, including algebra.”
    Success in algebra is linked to higher graduation rates and college enrollment.
    Let’s get started!
  • Norm Frankenberger
    Identifying the Parts of a Fraction
    The top number is called the numerator.
    The bottom number is called the denominator.
    3
    4
    numerator
    denominator
    Adding Fractions
  • Norm Frankenberger
    The Most Important Rule
    You CANNOT add (or subtract) fractions unless the denominators are the same!
    1
    3
    + 1
    4
    does not add up to 2
    7
    Adding Fractions
  • Adding Fractions
    Norm Frankenberger
    What If the Fractions You’re Adding Have Different Denominators
    You must choose a new common denominator
    You must change the fractions into their equivalent forms.
  • Adding Fractions
    Norm Frankenberger
    Choosing a Common Denominator
    1
    + 3
    1
    4
    Go through the list of multiples of the two denominators and pick out the first number that appears in both lists.
    This is the common denominator!
  • Adding Fractions
    Norm Frankenberger
    Converting Fractions to Equivalents
    • Put equal signs and the common denominator next to the original fractions
    • Ask, “Three times what number equals twelve?”
    • Answer: “Four”
    • Now, whatever you do the bottom of the fraction, you must do to the top.
    • Multiply the numerator times four
    x 4 =
    12
    12
    1
    + 3
    1
    4
    4
    =
    =
    x 4 =
    x 3 =
    3
    x 3 =
    Now repeat the same process with the second fraction.
  • Adding Fractions
    Norm Frankenberger
    Before we add the numerators…
    Let’s take a closer look at equivalent fractions:
    They are the mechanism by which we can change the original fractions into fractions with different denominators without losing the original value
    If it wasn’t for equivalent fractions we could not add (or subtract) fractions.
  • Norm Frankenberger
    Equivalent Fractions
    Equivalent fractions allow us to change a fraction to a fraction with a different denominator but with the same value.
    For example:
    ==
    ½ ½ ½
    In other words, ½ = 2/4= 4/8
    2/4
    4/8
    Adding Fractions
  • Norm Frankenberger
    Now, Let’s Finish the Problem
    Now, you add the numerators and put the total over the common denominator.
    x 4 =
    12
    12
    1
    + 3
    1
    4
    4
    =
    =
    x 4 =
    x 3 =
    3
    x 3 =
    7
    12
    Adding Fractions
  • Adding Fractions
    Norm Frankenberger
    I hope that helped and remember:
    "Numbers are your friends,
    especially when they are
    on your paycheck."