Scheffer- Tillman 6th grade Broncos!
  Mrs. Scheffer's 6th Grade Class
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Adding /Subtracting Fractions with the same Denominator
Fractions consist of two numbers. The top number is called the numerator. The bottom number is called the denominator.     numerator  
                         denominator
To add/subtract two fractions with the same denominator, add/subtract the numerators and place that sum/difference over the common denominator.

Add /Subtract Fractions with different denominators:
  • Find the Least Common Denominator (LCD) of the fractions
  • Rename the fractions to have the LCD
  • Add/Subtract the numerators of the fractions
  • Simplify the Fraction
Example: Find the Sum of 2/9 and 3/12
  • Determine the Greatest Common Factor of 9 and 12 which is 3
  • Either multiply the denominators and divide by the GCF (9*12=108, 108/3=36)
  • OR - Divide one of the denominators by the GCF and multiply the answer by the other denominator (9/3=3, 3*12=36)
  • Rename the fractions to use the Least Common Denominator(2/9=8/36, 3/12=9/36)
  • The result is 8/36 + 9/36
  • Add the numerators and put the sum over the LCD = 17/36
  • Simplify the fraction if possible. In this case it is not possible

Adding Mixed numbers consist of an integer followed by a fraction.
Example: 3 2/3 + 5 2/3 =

Add the fractional part of the mixed numbers 2/3 + 2/3 = 4/3 Convert 4/3 to a mixed number 4/3 = 1  1/3 Add the integer portions of the mixed numbers 3 + 5 = 8 Add the integer from the sum of the fractions 8 + 1 = 9 State the final answer: 9  1/3

Subtract mixed numbers having the same denominator:
  • Make the first numerator larger than the second if it is not.
  • Subtract the second numerator from the first
  • Place that difference over the common denominator.
  • Subtract the integer portions of the two mixed numbers
  • State the answer

Example: 5 1/3 - 3 2/3 =

Make the first numerator larger than the second 5  1/3 = 4  4/3 Subtract the fractional parts of the mixed numbers 4/3 - 2/3 = 2/3 Subtract the integer portions of the mixed numbers 4 - 3 = 1 State the final answer: 1  2/3
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Adding/Subtracting Decimals with different denominators- tutorial.
Math Playground- simplifying fractions
Simplifying fractions tutorial
Changing mixed fractions to improper fractions tutorial
Math is Fun- Mixed Fractions and Improper Fractions

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