1. FOUR RULES FOR FRACTIONS

2. numerator denominator The language of fractions improper fraction mixed number

3. To simplify a fraction you divide the numerator and denominator by a common factor. This can be shown on a diagram: = =

4. Examples 1 Simplify =

5. 2 Simplify =

6. 3 Simplify =

7. 4 Change to a mixed number. = note: 4 quarters make one whole one

8. 5 Change to a mixed number. = note: 3 thirds make one whole one

9. Adding and subtracting fractions To add or subtract fractions a common denominator is needed first. Example 1 Calculate first write both fractions with a common denominator of 15

10. 2 Calculate first write both fractions with a common denominator of 14

11. 3 Calculate first write both fractions with a common denominator of 20

12. Multiplying and dividing fractions Example 1 Calculate multiply the numerators, multiply the denominators

13. 2 Calculate multiply the numerators, multiply the denominators. first change to improper fractions change to a mixed number

14. 3 Calculate multiply the numerators, multiply the denominators. dividing by is the same as multiplying by change to a mixed number

15. 4 Calculate multiply the numerators, multiply the denominators. dividing by is the same as multiplying by simplify first change to improper fractions