1. 4-2 Improper Fractions and mixed numbers

2. Vocab
Improper Fraction- A fraction in which the numerator is greater than or equal to the denominator.
Mixed Number – A whole number and a proper fraction
Rational Number – Any number that can be expressed as a fraction

3. Example 1
What Improper fractions are being named by this number line? 1 2 3

4. Example 1
What Improper fractions are being named by this number line?
Step 1: recall that in an improper fraction, the numerator is equal to or greater than the denominator.
Step 2: Choose the fractions in which the numerator is greater than or equal to the denominator 1 2 3

5. Example 1
What Improper fractions are being named by this number line?
Step 1: recall that in an improper fraction, the numerator is equal to or greater than the denominator.
Step 2: Choose the fractions in which the numerator is greater than or equal to the denominator 1 2 3

6. Example 2
Express as a mixed number.

7. Example 2 Express as a mixed number.
Step 1: In any fraction, the fraction bar (or line segment) that separates the numerator from the denominator means divide. To express an improper fraction as a mixed number, divide the numerator by the denominator.

8. Example 2 Express as a mixed number.
Step 1: In any fraction, the fraction bar (or line segment) that separates the numerator from the denominator means divide. To express an improper fraction as a mixed number, divide the numerator by the denominator.
Step 2: Divide
How many times does 2 go into 11?

9. Example 2 Express as a mixed number.
Step 1: In any fraction, the fraction bar (or line segment) that separates the numerator from the denominator means divide. To express an improper fraction as a mixed number, divide the numerator by the denominator.
Step 2: Divide
How many times does 2 go into 11?

10. Example 2 Express as a mixed number.
Step 1: In any fraction, the fraction bar (or line segment) that separates the numerator from the denominator means divide. To express an improper fraction as a mixed number, divide the numerator by the denominator.
Step 2: Divide
How many times does 2 go into 11? what’s left over?

11. Example 2 Express as a mixed number.
Step 1: In any fraction, the fraction bar (or line segment) that separates the numerator from the denominator means divide. To express an improper fraction as a mixed number, divide the numerator by the denominator.
Step 2: Divide
How many times does 2 go into 11? what’s left over? 1

12. Example 2 Express as a mixed number.
Step 1: In any fraction, the fraction bar (or line segment) that separates the numerator from the denominator means divide. To express an improper fraction as a mixed number, divide the numerator by the denominator.
Step 2: Divide
How many times does 2 go into 11? what’s left over? 1
So our mixed number is 5

13. Example 3
Sometimes when you change an improper fraction to a mixed number, the remainder is 0. When this happens the answer is a whole number
Express as a mixed number.

14. Example 3
Sometimes when you change an improper fraction to a mixed number, the remainder is 0. When this happens the answer is a whole number
Express as a mixed number.
How many times does 9 go into 45?

15. Example 3
Sometimes when you change an improper fraction to a mixed number, the remainder is 0. When this happens the answer is a whole number
Express as a mixed number.
How many times does 9 go into 45? 5

16. Example 3
Sometimes when you change an improper fraction to a mixed number, the remainder is 0. When this happens the answer is a whole number
Express as a mixed number.
How many times does 9 go into 45?
What’s left?

17. Example 3
Sometimes when you change an improper fraction to a mixed number, the remainder is 0. When this happens the answer is a whole number
Express as a mixed number.
How many times does 9 go into 45?
What’s left? 0

18. Example 3
Sometimes when you change an improper fraction to a mixed number, the remainder is 0. When this happens the answer is a whole number
Express as a mixed number.
How many times does 9 go into 45?
What’s left? 0
So our answer is the whole number 5

19. Example 4
It is also possible to express a mixed number as an improper fraction
Express as an improper fraction.
To turn a mixed number into an improper fraction we have to multiply the denominator by the whole number.

20. Example 4
It is also possible to express a mixed number as an improper fraction
Express as an improper fraction.
To turn a mixed number into an improper fraction we have to multiply the denominator by the whole number.
13 x 2 = 26

21. Example 4
It is also possible to express a mixed number as an improper fraction
Express as an improper fraction.
To turn a mixed number into an improper fraction we have to multiply the denominator by the whole number.
13 x 2 = 26
Then we add the numerator to that answer and it goes over the denominator

22. Example 4
It is also possible to express a mixed number as an improper fraction
Express as an improper fraction.
To turn a mixed number into an improper fraction we have to multiply the denominator by the whole number.
13 x 2 = 26
Then we add the numerator to that answer and it goes over the denominator
= 27

23. Example 4
It is also possible to express a mixed number as an improper fraction
Express as an improper fraction.
To turn a mixed number into an improper fraction we have to multiply the denominator by the whole number.
13 x 2 = 26
Then we add the numerator to that answer and it goes over the denominator
= 27
Improper Fraction is

24. Activity Page
Activity Page 30
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