Algebraic fractions
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Algebraic fractions

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Examples and explanation of adding fractions with a common denominator, different denominators, multiplying fractions and dividing fractions.

Examples and explanation of adding fractions with a common denominator, different denominators, multiplying fractions and dividing fractions.

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Algebraic fractions Algebraic fractions Presentation Transcript

  • Fractions
    • Adding with Common Denominators
    • Adding with Different Denominators
    • Multiplying
    • Dividing
  • Add straight across the top (numerators)
    𝑦6+2𝑦6=
     
    If the base(denominator) is the same…
    Add/Subtract Common Denominators
  • Can it be simplified?
    3𝑦6=
     
  • 3÷3𝑦6÷3=
     
    3
  • 𝑦6+2𝑦6
    = 𝑦+2𝑦6
    =3𝑦6
    =𝑦2
     
    Add the numerators
    Simplify
  • 𝑦6+2𝑦5=
     
    Make the bases the same
    (choose a common denominator)
    Add/Subtract Different Denominators
  • Multiply top & bottom by the SAME number.
    (changes the look not the fraction)
    𝑦×56×5+2𝑦×65×6=
     
    30
  • Add straight across the top (numerators).
    5𝑦30+12𝑦30=
     
    Now the base (denominator) is the same…
  • Can it be simplified?
    17𝑦30=
     
  • 𝑦6+2𝑦5
    = 𝑦×56×5+2𝑦×65×6
    = 5𝑦30+12y30
    =17𝑦30
     
    Make denominators the same
    Multiply top and bottom by same number
    Add the numerators
    Simplify if you can!
  • Multiply straight across the top (numerators)
    𝑦2×43𝑥=
     
    Multiply straight across the bottom
    (denominators)
    Multiply
  • Can it be simplified?
    4𝑦6𝑥=
     
  • 4÷2𝑦6÷2𝑥=
     
    2
  • Multiply numerators,
    multiply denominators
    𝑦2×43𝑥
    = 𝑦×42×3𝑥
    = 4𝑦6𝑥
    =2𝑦3𝑥
     
    Simplify
  • 𝑦2÷43𝑥=
     
    Flip the secondfractionupside down
    (invert)
    Divide
  • Multiply straight across the top (numerators)
    𝑦2×3𝑥4=
     
    Multiply straight across the bottom
    (denominators)
  • Can it be simplified?
    3𝑥𝑦8=
     
  • Flip the second fraction
    𝑦2÷43𝑥
    = 𝑦2×3𝑥4
    =𝑦×3𝑥2×4
    = 3𝑥𝑦8
     
    Multiply numerators,
    multiply denominators
    Simplify if you can!