1. Rules for Fractions Addition, Subtraction, Multiplication and Division

2. Fractions Numerator---------  3 --- Denominator --------  5 Reminders: 1) “D” is down 2) N.o.D Numerator over Denominator

3. Equivalent Reducing Reverse 8 --- 10 (÷ 2) 4 = --- 5 4 --- 5 * (5) 20 =--- 25 ||||||||||||

4. Addition/Subtraction Convert fractions to have common denominators, – Use LCM or – Multiply the Denominators together Add or Subtract the numerators

5. Addition Example or as a Mixed number: 1 and 1/14 4 1 --- + --- 7 2 8 7 = --- + --- 14 14 15 = --- 14

6. Multiplication A) Reduce Last – Multiply the Numerators – Multiply the Denominators – Reduce B) Reduce First – Reduce – Multiply the Denominators – Multiply the Numerators

7. Multiplication Example Reduce Last 7 3 Problem:---* --- = 8 14 NOTE: The hard part is finding the GCF A) 21 --- 112 (÷ 7) 3 = --- 16

8. Multiplication Example Reduce First 7 3 Problem:---* --- = 8 14 B) 1 --- * --- 2 3 = --- 16 / ÷ 7 B) 3 --- * --- 8

9. Division Flip the second fraction Change division to multiplication Then multiply 12 --- 14 7 * --- 3 1 = --- * --- 2 = --- 1 3 ÷ --- 7 * / ÷ 7 / ÷ 3 4 = --- * --- 1 / ÷ 2 = 2 2 1

10. Summary Addition/Subtraction – – Must have common denominators, then – Add the Numerators Multiplication – – Multiply then reduce, or – Reduce then multiply Division – – Flip second fraction, then – Multiply