2. Definitions: Equivalent Fractions – Are fractions that represent the same value. For example, and are equivalent fractions. Simplest Form – A fraction is in simplest form when the GCF of its numerator and denominator is 1. For example, the simplest form of is because it can’t be reduced any further, meaning that the GCF of the numerator and denominator is 1.

3. Example 1: Divide both the numerator and denominator by a common factor (also the GCF.) Strategy: Think about whether the numerator and denominator have any common factors. If so, divide both numbers in the fraction by the common factor(s) or the GCF. When both numbers have one as their only common factor, your fraction is in simplest form. Writing Fractions in Simplest Form ÷4 Original fraction Final answer in simplest form Example 2: Divide both the numerator and denominator by a common factor. ÷3 Original fraction Final answer in simplest form ÷5

4. Write each of the following fractions in simplest form. 1.) 2.) 3.)

5. Example 1: Find a fraction that is equivalent to is equivalent to Multiply the numerator and denominator by a common number. Strategy: Multiply (or divide, if possible) the numerator and denominator to create equivalent fractions. Multiplying and Dividing to Find Equivalent Fractions x 2 Original fraction

6. Example 2: Find a fraction that is equivalent to is equivalent to Divide the numerator and denominator by a common number. Strategy: Multiply (or divide, if possible) the numerator and denominator to create equivalent fractions. Multiplying and Dividing to Find Equivalent Fractions ÷4 Original fraction ÷4

7. Example 1: Find the missing number to make 4 was multiplied by 5 to get 20. Strategy: Ask yourself, “What was the numerator or denominator multiplied by?” Then, multiply the other part of the original fraction by the same factor. Finding the Missing Number to Make Fractions Equivalent x 5 Original equation x 5 Multiply the denominator by 5. Final answer

8. Find two equivalent fractions for the fractions listed below. 1.) 2.) 3.) Find the missing numbers that make the following fractions equivalent. 4.) 5.) 6.)