1. Mixed Numbers & Improper Fractions

2. Vocabulary convert – to change from one form to another
mixed number – a whole number and a fraction
improper fraction – a fraction larger than one whole; the numerator is larger than the denominator

3. Mixed Numbers
A mixed number has a part that is a whole and a part that is a fraction. 3 1 = 4

4. Write the mixed number:3 3 = 4

5. Write the mixed number:1 5 = 2

6. Write the mixed number:2 2 = 3

7. Mixed Number → Improper Fraction
Multiply the whole number times the denominator
Add your answer to the numerator
Put that number over the denominator
Add the
numerator
Put that number
over the
denominator
Multiply the whole
number times
the denominator + 1 5 2 2 2 x 1 5 2 = 2 2

8. Convert the mixed number to an improper fraction:1 9 4 2 2

9. Convert the mixed number to an improper fraction:2 20 6 3 3

10. Convert the mixed number to an improper fraction:2 17 3 5 5

11. Convert the mixed number to an improper fraction:3 19 4 4 4

12. Convert the mixed number to an improper fraction:1 19 6 3 3

13. Convert the mixed number to an improper fraction:3 43 8 5 5

14. Improper Fractions
A fraction in which the numerator is greater than the denominator. 8 = 4

15. Write the improper fraction:19 = 4

16. Write the improper fraction:11 = 2

17. Write the improper fraction:9 = 3

18. Improper Fraction → Mixed Number
Divide the numerator by the denominator
Put the remainder over the denominator
Write the
remainder
over the
denominator 2
Divide the
numerator by
the denominator
R 1 2 5 2 4 1 5 1 2 = 2 2

19. Convert the improper fraction to a mixed number:7 1 2 3 3

20. Convert the improper fraction to a mixed number:8 2 2 3 3

21. Convert the improper fraction to a mixed number:9 1 4 2 2

22. Convert the improper fraction to a mixed number:11 1 2 5 5

23. Convert the improper fraction to a mixed number:
If there is no remainder then your answer is a whole number! 10 2 5

24. Convert the improper fraction to a mixed number:16 4 4