This document provides definitions and steps for simplifying fractions to their lowest terms. It defines key fraction vocabulary like numerator, denominator, equivalent fractions, and greatest common factor (GCF). It explains that lowest terms means a fraction cannot be simplified further. The steps are to write the factors of each number, circle the GCF, and divide both the numerator and denominator by the GCF to find equivalent fractions in lowest terms. Two sample problems demonstrate applying the 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