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Operations with Fractions

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					Operations with Fractions

       Mrs. McBryar
Adding Fractions with Like Denominators

Steps:
1. Add the numerators.
2. Keep the denominator the same.
3. Simplify or make any improper
   fractions mixed numbers.
Example: 10 + 12 = (10 +12) = 22 = 1 5
         17   17      17     17     17
     Subtracting Fractions with Like
             Denominators

Steps:
1. Subtract the numerator.
2. Keep the denominator the same.
3. Simplify or make any improper
   fractions mixed numbers.
Example: 15 - 4 = (15 - 4)= 11 = 1
            22   22    22    22 2
    Adding Mixed Numbers with Like
            Denominators

Steps: (Line them up vertically)
1. Add the numerators.
2. Keep the denominators the same.
3. Add the whole numbers.
4. Simplify or make any improper fractions
    mixed numbers.
   Adding Mixed Numbers with Like
           Denominators

Example:   4 5
               7
       +8     3
              7
           12 8 = 13 1
               7     7
 Subtracting Mixed Numbers with Like
            Denominators
Steps: (Line them up vertically)
1. Subtract the numerators
  *** If you cannot subtract, you must borrow from
       the whole number. Borrow one whole then
       add the denominator to the numerator to get
       your new numerator).
2. Keep the denominator the same.
3. Subtract the whole numbers.
4. Simplify or make any improper fractions
   mixed numbers.
 Subtracting Mixed Numbers
   with Like Denominators
Example:    9   3 = 8 11
                8      8
           -5   5= 5 5
                8      8
                    3 6= 3 3
                      8    4
 Adding Fractions with Unlike
       Denominators
Steps:
1. Find the LCD (least common denominator)
    *Just find the LCM of the denominators.
2. Find equivalent fractions with the LCD.
3. Add the numerators.
4. Keep the denominators the same.
5. Simplify or make any improper fractions
    mixed numbers.
   Adding Mixed Numbers with Unlike
            Denominators
Steps: (Line them up vertically)
1. Find the LCD (least common denominator).
2. Find equivalent fractions with the LCD.
3. Add the numerators.
4. Keep the denominators the same.
5. Add the whole numbers.
6. Simplify or make any improper fractions
   mixed numbers.
    Subtracting Fractions with Unlike
             Denominators

Steps:
1. Find the LCD (least common
   denominator).
2. Find equivalent fractions with the LCD.
3. Subtract the numerators.
4. Keep the denominator the same.
5. Simplify.
 Subtracting Mixed Numbers with Unlike
             Denominators
Steps:
1. Find the LCD (least common denominator).
2. Find equivalent fractions with the LCD.
3. Subtract the numerators (borrow from the
    whole number if needed)
4. Keep the denominator the same.
5. Subtract the whole numbers.
6. Simplify or make any improper fractions
    mixed numbers.
        Multiplying with Fractions

Steps:
1. Multiply the numerators.
2. Multiply the denominators.
3. Simplify or change any improper
   fractions to mixed numbers.
     Multiplying with Mixed
            Numbers
Steps:
1. Change mixed numbers to improper
   fractions.
2. Multiply the numerators.
3. Multiply the denominators.
4. Simplify or change any improper
   fractions to mixed numbers.
          Dividing with Fractions
Steps: (KCF)
1. Keep the first fraction the same.
2. Change the division sign to a multiplication
    sign.
3. Flip the numerator and denominator of the
    last fraction. (Reciprocal)
   ***The numerator becomes the denominator
    and the denominator is now the numerator)
4. Multiply the numerators.
5. Multiply the denominators.
6. Simplify or change any improper fractions to
    mixed numbers.
          Dividing Mixed Numbers
Steps: (KCF)
1. Change any mixed numbers to improper
   fractions.
2. Keep the first fraction.
3. Change the division sign to a multiplication
   sign.
4. Flip the second fraction.
5. Multiply the numerators and denominators.
6. Simplify or change any mixed numbers to
   improper fractions.

				
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posted:8/13/2012
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