1. Mixed Numbers & Improper Fractions

2. Mixed Numbers & Improper Fractions
Essential Question:
How can I convert improper fractions to mixed numbers and mixed numbers into improper fractions?
Common Core Obj./Student Friendly Terms:
(6.NS.1) Students will be able to convert improper fractions to mixed numbers and mixed numbers to improper fractions with at least 80% accuracy.

3. Mixed Numbers & Improper Fractions
Vocabulary:
Mixed Number – a number containing a fraction and whole number.
Improper Fraction – a fraction with a numerator that is larger than the denominator.
Proper Fraction – a fraction with a numerator that is smaller than the denominator.

4. Mixed Numbers & Improper Fractions
To change an
IMPROPER FRACTION
to a
MIXED NUMBER
use
LONG DIVISION

5. Mixed Numbers & Improper Fractions
To change a
MIXED NUMBER
to an
IMPROPER FRACTION
use
THE MAD CIRCLE

6. Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed number and simplify:
a) 21/ b) 20/ c) 32/8

7. Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed number and simplify:
a) 21/ b) 20/ c) 32/8
Use LONG DIVISION to change each improper fraction to a mixed number.

8. Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed number and simplify:
a) 21/ b) 20/ c) 32/8 21 4

9. Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed number and simplify:
a) 21/ b) 20/ c) 32/8 21 5 4 4 21 20 1

10. Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed number and simplify:
a) 21/ b) 20/ c) 32/8 21 5 4 4 21 5 1 20
The denominator stays the same 4 1
The remainder becomes the numerator

11. Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed number and simplify:
a) 21/ b) 20/ c) 32/8 20 3

12. Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed number and simplify:
a) 21/ b) 20/ c) 32/8 20 6 3 3 20 18 2

13. Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed number and simplify:
a) 21/ b) 20/ c) 32/8 20 6 3 3 20 6 2 18
The denominator stays the same 3 2
The remainder becomes the numerator

14. Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed number and simplify:
a) 21/ b) 20/ c) 32/8 32 8

15. Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed number and simplify:
a) 21/ b) 20/ c) 32/8 32 4 8 8 32 32

16. Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed number and simplify:
a) 21/ b) 20/ c) 32/8 32 4 4 8 8 32 8 32
The denominator stays the same
The remainder becomes the numerator

17. Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 1: Write each improper fraction as a mixed number and simplify:
a) 21/ b) 20/ c) 32/8
When 0 as numerator get rid of fraction 32 4 4 8 8 32 8 32
The denominator stays the same 4
The remainder becomes the numerator

18. Mixed Numbers & Improper Fractions
Simplifying Improper Fractions
Example 2: Write each mixed number as an improper fraction and simplify:
a) 10 4/5 b) 3 3/7 c) 1 4/5

19. Mixed Numbers & Improper Fractions
Mixed Numbers to Improper Fractions
Example 2: Write each mixed number as an improper fraction and simplify:
a) 10 4/5 b) 3 3/7 c) 1 4/5
Use THE MAD CIRCLE to change each mixed number to an improper fraction.

20. Mixed Numbers & Improper Fractions
Mixed Numbers to Improper Fractions
Example 2: Write each mixed number as an improper fraction and simplify:
a) 10 4/5 b) 3 3/7 c) 1 4/5
Product is Added to the Numerator + 10 4
5 x 54 = = 5 5 5 x
Denominator Multiplied by the Whole Number

21. Mixed Numbers & Improper Fractions
Mixed Numbers to Improper Fractions
Example 2: Write each mixed number as an improper fraction and simplify:
a) 10 4/5 b) 3 3/7 c) 1 4/5
Product is Added to the Numerator + 3 3
7 x 3 + 3 24 = = 7 7 7 x
Denominator Multiplied by the Whole Number

22. Mixed Numbers & Improper Fractions
Mixed Numbers to Improper Fractions
Example 2: Write each mixed number as an improper fraction and simplify:
a) 10 4/5 b) 3 3/7 c) 1 4/5
Product is Added to the Numerator + 1 4
5 x 1 + 4 9 = = 5 5 5 x
Denominator Multiplied by the Whole Number

23. Mixed Numbers & Improper Fractions
Guided Practice
Write each improper fraction as a mixed number and simplify:
a) 51/5 b) 44/8 c) 27/6
Write each mixed number as an improper fraction:
a) 4 3/4 b) 16 1/2 c) 7 5/8

24. Mixed Numbers & Improper Fractions
Guided Practice
Write each improper fraction as a mixed number and simplify:
a) 51/5 b) 44/8 c) 27/6
a) 10 1/5 b) 5 1/2 c) 4 1/2
Write each mixed number as an improper fraction:
a) 4 3/4 b) 16 1/2 c) 7 5/8
a) 19/4 b) 33/ c) 61/8

25. Mixed Numbers & Improper Fractions
Independent Practice
Write each improper fraction as a mixed number and simplify:
a) 48/3 b) 17/2 c) 27/8
Write each mixed number as an improper fraction:
a) 6 1/4 b) 27 3/4 c) 9 1/3

26. Mixed Numbers & Improper Fractions
Independent Practice
Write each improper fraction as a mixed number and simplify:
a) 48/3 b) 17/2 c) 27/8
a) b) 8 1/2 c) 3 3/8
Write each mixed number as an improper fraction:
a) 6 1/4 b) 27 3/4 c) 9 1/3
a) 25/4 b) 111/ c) 28/3

27. Mixed Numbers & Improper Fractions
Homework
p. 184 #20-27, all