1. FRACTIONS LESSON 4

2. TERMIOLOGY ► NUMERATOR – Top digit of a fraction ► DENOMINATOR – Bottom digit of a fraction ► EQUIVALENT FRACTIONS - are fractions that have the same value ► MIXED FRACTION - is a whole number plus a fraction ► IMPROPER FRACTIONS - have the numerator part greater or equal to the denominator part

3. EQUIVALENT FRACTIONS ► We can determine if fractions are equivalent by multiplying the numerator and denominator by the same number ► EXAMPLE: 2424 = 1212 x2

4. TRY THESE ► ► 1) ► ► 2) ► ► 3) 3535 6767 4848 = = =

5. TRY THESE ► ► 1) ► ► 2) ► ► 3) 3535 6767 4848 = = = 6 10 x2

6. TRY THESE ► ► 1) ► ► 2) ► ► 3) 3535 6767 4848 = = = 6 10 12 14 x2

7. TRY THESE ► ► 1) ► ► 2) ► ► 3) 3535 6767 4848 = = = 6 10 12 14 8 16 x2

8. MIXED FRACTIONS ► EXAMPLE: ► TO CALCULATE THE NUMERATOR when converting mixed to improper fractions: ► TO CALCULATE THE NUMERATOR when converting mixed to improper fractions: ► 1) Multiply the whole number of the mixed fraction by the denominator ► 2) Add on the numerator of the fraction part 3535 3

9. CHANGING MIXED TO IMPROPER ► EXAMPLE: 3 3535 STEP 1 Multiply 3 x 5 = 15 x

10. CHANGING MIXED TO IMPROPER ► EXAMPLE: 3 3535 STEP 1 Multiply 3 x 5 = 15 STEP 2 Add the result from step 1 to the numerator 15 + 3 = 18

11. CHANGING MIXED TO IMPROPER ► EXAMPLE: 3 3535 STEP 1 Multiply 3 x 5 = 15 STEP 2 Add the result from step 1 to the numerator 15 + 3 = 18 STEP 3 Place result from step 2 in the numerator 18 ?

12. CHANGING MIXED TO IMPROPER ► EXAMPLE: 3 3535 STEP 1 Multiply 3 x 5 = 15 STEP 2 Add the result from step 1 to the numerator 15 + 3 = 18 STEP 3 Place result from step 2 in the numerator STEP 4 Keep the same denominator 18 ? 18 5

13. IMPROPER FRACTIONS ► EXAMPLE: ► TO CHANGE THE IMPROPER fraction to a mixed fraction DIVIDE the numerator by the denominator ► TO CHANGE THE IMPROPER fraction to a mixed fraction DIVIDE the numerator by the denominator ► The quotient (i.e. the result of division) is the whole number part of the mixed fraction ► The remainder is the numerator of the fraction part of the mixed fraction 14 6

14. CHANGING IMPROPER TO MIXED ► EXAMPLE: 14 6 STEP 1 Divide 14 ÷ 6 = 2 and remainder of 2

15. CHANGING IMPROPER TO MIXED ► EXAMPLE: 14 6 STEP 1 Divide 14 ÷ 6 = 2 and remainder of 2 STEP 2 Remainder is the numerator 2?2? 2

16. CHANGING IMPROPER TO MIXED ► EXAMPLE: 14 6 STEP 1 Divide 14 ÷ 6 = 2 and remainder of 2 STEP 2 Remainder is the numerator STEP 3 Keep the same denominator 2?2? 2 2 2626

17. CHANGING IMPROPER TO MIXED ► EXAMPLE: 14 6 STEP 1 Divide 14 ÷ 6 = 2 and remainder of 2 STEP 2 Remainder is the numerator STEP 3 Keep the same denominator STEP 4 Reduce to lowest terms 2?2? 2 2 2626 1313 22 2626 =

18. TRY THESE ► CHANGE A MIXED FRACTION TO AN IMPROPER: ► 1) ► 2) 3 2424 5 3737

19. TRY THESE ► CHANGE A MIXED FRACTION TO AN IMPROPER: ► 1) ► 2) 3 2424 5 3737 = 14 4

20. TRY THESE ► CHANGE A MIXED FRACTION TO AN IMPROPER: ► 1) ► 2) 3 2424 5 3737 = 14 4 = 7272

21. TRY THESE ► CHANGE A MIXED FRACTION TO AN IMPROPER: ► 1) ► 2) 3 2424 5 3737 = 14 4 = 7272 = 38 7

22. TRY THESE ► CHANGE AN IMPROPER TO A MIXED FRACTION: ► 1) ► 2) 22 5 17 6

23. TRY THESE ► CHANGE AN IMPROPER TO A MIXED FRACTION: ► 1) ► 2) 22 5 17 6 = 2525 4

24. TRY THESE ► CHANGE AN IMPROPER TO A MIXED FRACTION: ► 1) ► 2) 22 5 17 6 = 2525 4 = 2 5656