Fraction Rules

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  1. Addition of Fractions
    To add fractions with like denominators, simply add directly across using normal addition.       chart?chf=bg,s,00000000&cht=tx&chl=1%2F4%2B2%2F4%3D3%2F8&chs=264x40
  2. Subtraction of Fractions
    To subtract fractions, again make sure the denominators are the same and subtract the numerators. Bring the denominator over to join.                                                chart?chf=bg,s,00000000&cht=tx&chl=3%2F8-2%2F8%3D%203-2%2F8%3D1%2F8&chs=416x40
  3. What if the denominators are not the same?
    Follow these simple steps to get a common denominator:                                                                  1. Multiply the first fraction by the denominator of the second fraction and multiply the second fraction by the first fractions denominator.                                                                                                chart?chf=bg,s,00000000&cht=tx&chl=1%2F2%2B1%2F4&chs=156x40                                                                                                                      chart?chf=bg,s,00000000&cht=tx&chl=2*4&chs=60x30       chart?chf=bg,s,00000000&cht=tx&chl=4*2&chs=60x30
  4. What you to do the bottom of the fraction you must do to the top numbers also.
    So, step 2 is to multiply chart?chf=bg,s,00000000&cht=tx&chl=1*4&chs=58x30 and chart?chf=bg,s,00000000&cht=tx&chl=1*2&chs=56x30
  5. Now, rewrite your fraction.
    chart?chf=bg,s,00000000&cht=tx&chl=2*4%3D8&chs=122x32            chart?chf=bg,s,00000000&cht=tx&chl=4*2%3D8&chs=122x32                                  chart?chf=bg,s,00000000&cht=tx&chl=1*4%3D4&chs=116x30             chart?chf=bg,s,00000000&cht=tx&chl=2*1%3D2&chs=112x30                                 The new fractions are:                                   chart?chf=bg,s,00000000&cht=tx&chl=4%2F8%20%2B%202%2F8&chs=164x40                                                                                                  chart?chf=bg,s,00000000&cht=tx&chl=4%2B2%3D6&chs=124x30                                       chart?chf=bg,s,00000000&cht=tx&chl=8%2B8%3D16&chs=140x30                   The answer is : chart?chf=bg,s,00000000&cht=tx&chl=6%2F16&chs=76x40  or chart?chf=bg,s,00000000&cht=tx&chl=3%2F8&chs=64x40                                                                                Remember to reduce your answer before you leave it.
  6. Multiply Fractions
    Multiply the numerators then multiply the denominators.                                                        chart?chf=bg,s,00000000&cht=tx&chl=4%2F5*1%2F4&chs=150x40                                                                                                               chart?chf=bg,s,00000000&cht=tx&chl=4*1%3D4&chs=116x30       chart?chf=bg,s,00000000&cht=tx&chl=4*5%3D20&chs=138x32                                                                                                     Now rewrite it: chart?chf=bg,s,00000000&cht=tx&chl=4%2F20&chs=80x40 or chart?chf=bg,s,00000000&cht=tx&chl=1%2F5&chs=58x40
  7. Dividing Fractions
    To divide fractions, use this simple trick! Flip the 2nd fraction upside down and multiply.      chart?chf=bg,s,00000000&cht=tx&chl=1%2F6&chs=60x40÷chart?chf=bg,s,00000000&cht=tx&chl=1%2F3&chs=60x40                                                                                                                        Flip the second fraction:         chart?chf=bg,s,00000000&cht=tx&chl=1%2F6&chs=60x40÷chart?chf=bg,s,00000000&cht=tx&chl=3%2F1&chs=60x40                                                                         Now multiply, chart?chf=bg,s,00000000&cht=tx&chl=1*3%3D3&chs=118x32            chart?chf=bg,s,00000000&cht=tx&chl=6*1%3D6&chs=118x32                                                                           Rewrite: chart?chf=bg,s,00000000&cht=tx&chl=3%2F6&chs=64x40 or chart?chf=bg,s,00000000&cht=tx&chl=1%2F2&chs=58x40
  8. Fractions and Whole Numbers
    When you are given an equation with a whole number and a fraction, simply turn the whole number into a fraction. Any whole number is a fraction over the number 1.                            chart?chf=bg,s,00000000&cht=tx&chl=3*2%2F9%3D&chs=140x40                               chart?chf=bg,s,00000000&cht=tx&chl=3%2F1*2%2F9&chs=148x40                                                                                  Multiply numerator and numerator, denominator and denominator.                                                               chart?chf=bg,s,00000000&cht=tx&chl=3*2&chs=62x32                     chart?chf=bg,s,00000000&cht=tx&chl=9*1&chs=58x32                                                                                                               chart?chf=bg,s,00000000&cht=tx&chl=6%2F9&chs=64x40 or chart?chf=bg,s,00000000&cht=tx&chl=2%2F3&chs=62x40
  9. Multiplying Mixed Fractions
    There are 3 steps to multiplying mixed fractions.                                                                          Here's our equation:           6 3/7 * 1 4/5                                                                Step 1: Convert the mixed numbers to improper fractions.                                              To do this, multiply each denominator by the whole number and add the numerator.         6*7+3=45       5*1+4                                                                                                   Keep each fractions original denominator.     45/7      9/5
  10. Step 2:
    Multiply your numerators and denominators.                                                                                                45*9     7*5                                                                                                                         405/35
  11. Reduce and Convert Back
    Step 3: Reduce the fraction. This fraction is divisible by 5 for both the numerator and denominator.                                                405/35 ÷ 5/5= 81/7                                     Step 4: Convert your fraction to a mixed number by dividing the denominator into the numerator.                                                7/81= 11 4/7
  12. Dividing Mixed Numbers
    As with multiplying mixed numbers, in dividing them you also convert the mixed number to a fraction and keep the original denominators.    6 1/2÷ 2 1/4                                             Convert:                           2*6+1=13      4*2+1=9                                                Rewrite:                                       13/2÷ 9/4                                                              Flip the second fraction and multiply:           13/2*4/9= 52/18                                       Reduce by dividing the numerator and denominator by 2                                       52÷2=26       18÷2=9                                26/9                                                         Convert back to Mixed Number:                                                                                                                             9÷26= 2 8/9
  13. Citations
    • Adding Fractions. (n.d.). Retrieved January 18, 2016, from                                                                                                             Middle School Math. (n.d.). Retrieved January 18, 2016, from  
    • How Do You Multiply Fractions? (n.d.). Retrieved January 18, 2016, from

    • How Do You Divide Fractions? (n.d.). Retrieved January 18, 2016, from                                                                        
    • How Do You Subtract Two Fractions with Different Denominators? (n.d.). Retrieved January 18, 2016, from
Card Set:
Fraction Rules
2016-01-18 03:05:51

Rules for addition, subtraction, multiplication and division of fractions.
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