1. Operations with Fractions and mixed numbers
Chapter 3 Notes
Operations with Fractions and mixed numbers

2. 3.1 Notes – Adding and Subtracting like fractions
Like Fractions – Fractions that have the same denominator Step 1: Add or subtract the numerator (top number) Step 2: Copy the denominator (bottom number) EX1: = 3 4 EX2: = 1 6

3. 3.2 Notes – adding and subtracting unlike fractions
Unlike Fractions – Fractions that have different denominators Step1: Find the least common denominator (Hint: Multiply the denominators) Step 2: What you do to the bottom, you do to the top! Find your new numerators Step 3: Add or subtract the numerators and copy the denominators EX1: = EX2: =

4. 3.3 Notes: Improper Fractions and Mixed Numbers
Improper Fraction: A fraction where the numerator is bigger than the denominator.
EX:
Mixed Number: A number that contains a whole number and a fraction
EX:

5. To write an improper fraction as a mixed number: Step 1: How many “sets” of the denominator can you take out of the numerator? (Write this as your whole number) Step 2: Write what’s left over as a fraction with the same denominator. EX1: 7/4 = 1 ¾ EX2: 19/8 = EX 3: 9/4 = EX 4: 25/5 =

6. To write a mixed number as an improper fraction: Step 1: Multiply the denominator and the whole number; then add the numerator Step 2: This number is the numerator to the improper fraction Step 3: Copy the denominator Ex1: 1 ¼ = EX2: 2 1/5 = EX3: 4 ¾ = EX4: 100 1/8 =

7. 3.4 Notes: Multiplying Fractions
Step 1: Multiply the numerators
Step 2: Multiply the Denominators
Ex1: ½ x ¾ = EX2: 5/6 x 1/8

8. 3.5 Notes: Dividing Fractions
Step 1: Rewrite the problem inverting (flipping) the second fraction.
Step 2: Multiply these 2 fractions.
EX1: ÷ = EX2: ÷ =

9. 3.6 Notes: Adding and Subtracting Mixed numbers
Step 1: Add or subtract the fraction
Step 2: Add or subtract the whole number
EX1: 3 1/ /3 = EX2: 6 2/ /6 =
USE YOUR CALCULATOR!!!

10. 3.7 notes: Multiplying and dividing mixed numbers
Step 1: Convert mixed numbers into improper factions
Step 2: Multiply or divide
Step 3: Do you have an improper fraction as an answer? Change it back to a mixed number!
EX: 3 ½ x 2 1/3
X =
49 6 =