Fraction Rules

The flashcards below were created by user nmackinlay on FreezingBlue Flashcards.

  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 https://www.mathsisfun.com/fractions_addition.html                                                                                                             Middle School Math. (n.d.). Retrieved January 18, 2016, from http://www.virtualnerd.com/middle-math/all  
    • How Do You Multiply Fractions? (n.d.). Retrieved January 18, 2016, from http://www.virtualnerd.com/middle-math/multiplying-dividing-fractions/multiply/multiply-fractions-definition

    • How Do You Divide Fractions? (n.d.). Retrieved January 18, 2016, from http://www.virtualnerd.com/middle-math/multiplying-dividing-fractions/divide/divide-fractions-example                                                                        
    • How Do You Subtract Two Fractions with Different Denominators? (n.d.). Retrieved January 18, 2016, from http://www.virtualnerd.com/middle-math/adding-subtracting-fractions/unlike-denominators/practice-subtract-fractions-unlike-denominators
Author:
nmackinlay
ID:
314234
Card Set:
Fraction Rules
Updated:
2016-01-18 03:05:51
Tags:
fractions
Folders:

Description:
Rules for addition, subtraction, multiplication and division of fractions.
Show Answers: