1. FOUR RULES FOR FRACTIONS

2. The language of fractions
numerator
denominator
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
first change to improper fractions
multiply the numerators, multiply the denominators.
change to a mixed number

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

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