This document provides instructions and examples for simplifying fractions to their lowest terms. It defines key fraction vocabulary like numerator, denominator, equivalent fractions, and greatest common factor (GCF). A three step process is outlined: 1) write the factors of each number, 2) circle the greatest common factor, 3) divide the numerator and denominator by the GCF to find the equivalent fraction in lowest terms. Two sample problems demonstrate applying these steps to simplify fractions.

1. Notes Lowest Terms

2. Vocab Denominator: Total number of equal size pieces in the whole. The bottom number of a fraction. Equivalent Fractions: Two fractions that have the same amount. Factor: A number in an expression. Greatest Common Factor (GCF): The greatest common digit between two numbers .

3. Vocab Lowest Terms: When a fraction can not be simplified any farther. Numerator: Total number of pieces that you have. Top number of a fraction. Simplifying: Dividing the same number into the numerator and the denominator.

4. Notes Lowest terms is finding the smallest equivalent fraction.

5. Notes Step #1: Write the factors of each number. Step #2: Circle the greatest common factor between the numbers. Step #3: Find equivalent fractions.

6. Sample Problems 1) 10 12 Step #1: f: 1, 2, 5, 10 f: 1, 2, 3, 4, 6, 12

7. Sample Problems 1) 10 12 Step # 2 : f: 1, 2, 5, 10 f: 1, 2, 3, 4, 6, 12

8. Sample Problems 1) 10 12 Step # 2 : f: 1, 2 , 5, 10 f: 1, 2 , 3, 4, 6, 12

9. Sample Problems 1) 10 12 Step # 2 : f: 1, 2 , 5, 10 f: 1, 2 , 3, 4, 6, 12 Step #3: 10 ÷ 2 = 12 ÷ 2 = 5 6

10. Sample Problems 2) 21 24 Step #1: f: 1,3,7,21 f: 1,2,3,4,6,8,12,24

11. Sample Problems 2) 21 24 Step # 2 : f: 1, 3 ,7,21 f: 1,2, 3 ,4,6,8,12,24

12. Sample Problems 2) 21 24 Step # 2 : f: 1, 3 ,7,21 f: 1,2, 3 ,4,6,8,12,24 Step #3: 21 ÷ 3 = 24 ÷ 3 = 7 8

13. Practice Handout