Adding and Subtracting Fractions Objective: Learn how to add and subtract fractions.

Adding and Subtracting Fractions with the same denominator: Steps: 1. Add or Subtract the numerators. 2. Write the sum or difference over the denominator. 3. Rewrite in simplest form. Example: 1 + 3 = 10 10

Adding and Subtracting Fractions with different denominator: Steps: Find the LCD (Least common denominator) of the 2 denominators. Rewrite the fractions using the common denominator. Add or Subtract. Rewrite fraction in simplest form. If the answer is an improper fraction you must convert it to a mixed number.

6 × 2_= 12 ___________________ 1 12 4 x3 6 x2 12 12 Example: 1 - 1 = 4 6 First, find the least common multiple of the 2 denominators. 4= 4, 8, 12, 16… 6= 6, 12, 18… Then we can do it 2 ways, vertically or horizontally: Vertically: 1 × 3 _3__ 4 × 3_= 12 - 1 × 2 _2_ 6 × 2_= 12 ___________________ 1 12 Horizontally: 1 x3 - 1 x2 = 3 - 2 = 1 4 x3 6 x2 12 12

Your Examples: 4 - 1 2. 1 + 5 5 3 6 9