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Adding  Fractions
 

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."