1. Math 5 Mixed Numbers and Improper Fractions
Instructor: Mrs. Tew Turner

2. In this lesson we will learn about mixed numbers and improper fractions.

3. Math Warm-up How many $0.15 pencils can Ahmed buy for $2.00?
Pause lesson to work.

4. Math Warm-up - ANSWER $2.00 ÷ $0.15 13 pencils
How many $0.15 pencils can Ahmed buy for $2.00?

5. How are mixed numbers and improper fractions related?
In this lesson we will answer the question:
How are mixed numbers and improper fractions related?

6. divisor- the number that a dividend is divided by 24 ÷ 4 = 6
Vocabulary Review
divisor- the number that a dividend is divided by
24 ÷ 4 = 6 6
4 24

7. Vocabulary Review
fraction – a symbol, such as ¾, used to describe one or more parts of a whole that is divided into equal parts. A fraction can name a part of a whole, a part of a set, a location on a number line, or a division of whole numbers.

8. numerator - the number above the fraction bar in a fraction.
Vocabulary - Review
numerator - the number above the fraction bar in a fraction.
denominator - the number below the fraction bar in a fraction.
numerator 1 2
denominator

9. Vocabulary mixed number – a whole number and a fraction Ex.

10. Vocabulary
improper fraction – a fraction whose numerator is greater than or equal to its denominator (the fraction is 1 whole or more)
Ex.

11. Connecting to Previous Learning
You have already learned how to find equivalent fractions. Today, we will use a similar method to move between mixed numbers and improper fractions.

12. You can use either an improper fraction or a mixed fraction to show the same amount. For example
1 3/4 = 7/4, as shown here:

13. You know that 20 ÷ 9 = 20 9
This is an improper fraction because the numerator is greater than the denominator.
Improper fractions can be rewritten as mixed numbers!

14. You can write 20 ÷ 9 as a mixed number.
You know that 20 ÷ 9 = 20 9
Step 1: Divide the numerator by the denominator. 2
9 20 18 2

15. 2 You can write 20 ÷ 9 as a mixed number. You know that 20 ÷ 9 = 20 9
Step 2: Write the remainder as a fraction.
The divisor is the denominator! 2
9 20 18 2 2 2 9

16. 2 2 2 9 Write as an improper fraction.
Step 1: Multiply the denominator of the fraction by the whole number. 2 9 2
2 x 9 = 18 x

17. 2 2 2 Write as an improper fraction. 9
Step 2: Add the numerator of the fraction. + 2 9 2
= 20 x

18. 2 2 20 9 2 Write as an improper fraction. 9
Step 3: Write using the same denominator. 2 2 9 20 9

19. 2 2 9
Write as an improper fraction. 2 2 9 20 9 =

20. Document Camera
Get your notebook
and pencil ready.
Make sure you have the Lesson # and date on your page.

21. 2 2 2 In your Math Notebook Independent Practice
Write the improper fraction as a mixed number, or the mixed number as an improper fraction. 20 9 1. 2. 3. 2 2 9 4. 5. 6. 2 2 9 20 9 20 9 2 2 9

22. Lesson Review
Steps to write a mixed number as an improper fraction:
Divide the numerator by the denominator.
Write the remainder as a fraction.

23. Lesson Review Steps to write an improper fraction as a mixed number:
Multiply the denominator of the fraction by the whole number.
Add the numerator of the fraction.
Write using the same denominator.

24. Quick Check Is 5/5 an improper fraction? Explain your reasoning.
In your Math Notebook
Quick Check
Is 5/5 an improper fraction? Explain your reasoning.
Simone thinks that 8/4 is not an improper fraction because
8 ÷ 4 = 2. Is she correct? Explain.

25. Quick Check – ANSWERS
Is 5/5 an improper fraction? Explain your reasoning. Yes, because the numerator is equal to the denominator.
Simone thinks that 8/4 is not an improper fraction because
8 ÷ 4 = 2. Is she correct? Explain.
It is an improper fraction because the numerator is greater than the denominator. Also, the value of it is greater than one.

26. More Practice! http://www.mathplayground.com/fractions_mixed.html
More Practice!

27. Good Work with this lesson.
Today you learned how mixed numbers and improper fractions are related.