1. Comparing & Ordering Fractions

2. Comparing & Ordering Fractions
Essential Question:
How can I compare and order fractions with like and unlike denominators?
Common Core Objective/Student Friendly Terms:
(4.NF.2 & 5.NF.1) Students will be able to compare and order sets of two, three, and four fractions with like and unlike denominators with at least 80% accuracy.

3. Comparing & Ordering Fractions
Vocabulary:
Numerator – the “top” number in a fraction.
Denominator – the “bottom” number in a fraction.
Least Common Denominator (LCD) – a common multiple between fractions with unlike denominators.
Mixed Number – a number containing a fraction and whole number.
Improper Fraction – a fraction with a numerator that is larger than the denominator.

4. Comparing & Ordering Fractions Lets talk about pizza…yummy…
Meet Joe the Pizza Man

5. Comparing & Ordering Fractions Lets talk about pizza…yummy…
Here is the pizza Joe was just holding up.
How many slices are there?
So we could say this
pizza is cut into _____?
And if I eat this slice I have eaten how much?

6. Comparing & Ordering Fractions Lets talk about pizza…yummy…
How much of this pizza did I eat?
How do you know that?

7. Comparing & Ordering Fractions Lets talk about pizza…yummy…
How much of this pizza did I eat?
How do you know that?

8. Comparing & Ordering Fractions
Why do I need this…where will I ever see it again?

9. Comparing & Ordering Fractions
Comparing Like Denominators
Example 1: Replace each □ with <, >, or = to make a true sentence.
a) 1/4 □ 3/ b) 5/10 □ 3/10

10. Comparing & Ordering Fractions
Comparing Like Denominators
Example 1: Replace each □ with <, >, or = to make a true sentence.
a) 1/4 □ 3/ b) 5/10 □ 3/10

11. Comparing & Ordering Fractions
Comparing Like Denominators
Example 1: Replace each □ with <, >, or = to make a true sentence.
a) 1/4 □ 3/ b) 5/10 □ 3/10
¼ ¾
<

12. Comparing & Ordering Fractions
Comparing Like Denominators
Example 1: Replace each □ with <, >, or = to make a true sentence.
a) 1/4 □ 3/ b) 5/10 □ 3/10
¼ ¾
<

13. Comparing & Ordering Fractions
Comparing Like Denominators
Example 1: Replace each □ with <, >, or = to make a true sentence.
a) 1/4 □ 3/ b) 5/10 □ 3/10 5 3
¼ ¾
<
> 10 10

14. Comparing & Ordering Fractions
Comparing Unlike Denominators
Example 2: Replace each □ with <, >, or = to make a true sentence.
a) 1/2 □ 3/ b) 1/4 □ 9/12

15. Comparing & Ordering Fractions
Comparing Unlike Denominators
Example 2: Replace each □ with <, >, or = to make a true sentence.
a) 1/2 □ 3/ b) 1/4 □ 9/12

16. Comparing & Ordering Fractions
Comparing Unlike Denominators
Example 2: Replace each □ with <, >, or = to make a true sentence.
a) 1/2 □ 3/ b) 1/4 □ 9/12
First, we need to find a COMMON DENOMINATOR so we can rewrite the fraction using equivalent denominators.

17. Comparing & Ordering Fractions
Comparing Unlike Denominators
Example 2: Replace each □ with <, >, or = to make a true sentence.
a) 1/2 □ 3/ b) 1/4 □ 9/12
First, we need to find a COMMON DENOMINATOR so we can rewrite the fraction using equivalent denominators.
This is why we learned how to find common multiples

18. Comparing & Ordering Fractions
Comparing Unlike Denominators
Example 2: Replace each □ with <, >, or = to make a true sentence.
a) 1/2 □ 3/ b) 1/4 □ 9/12
First, we need to find a COMMON DENOMINATOR so we can rewrite the fraction using equivalent denominators.
This is why we learned how to find common multiples
We use multiples to find common denominators

19. Comparing & Ordering Fractions
Comparing Unlike Denominators
Example 2: Replace each □ with <, >, or = to make a true sentence.
a) 1/2 □ 3/ b) 1/4 □ 9/12
We use multiples to find common denominators

20. Comparing & Ordering Fractions
Comparing Unlike Denominators
Example 2: Replace each □ with <, >, or = to make a true sentence.
a) 1/2 □ 3/ b) 1/4 □ 9/12 4 9
4/ /8
>
< 12 12

21. Comparing & Ordering Fractions
Example 3: Order the fractions from least to greatest:
3/4, 2/5, 5/8, 1/2.
FIND THE LCD

22. Comparing & Ordering Fractions
Example 3: Order the fractions from least to greatest:
3/4, 2/5, 5/8, 1/2.
FIND THE LCD
4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44

23. Comparing & Ordering Fractions
Example 3: Order the fractions from least to greatest:
3/4, 2/5, 5/8, 1/2.
FIND THE LCD
4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44
5: 5, 10, 15, 20, 25, 30, 35, 40, 45

24. Comparing & Ordering Fractions
Example 3: Order the fractions from least to greatest:
3/4, 2/5, 5/8, 1/2.
FIND THE LCD
4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44
5: 5, 10, 15, 20, 25, 30, 35, 40, 45
8: 8, 16, 24, 32, 40

25. Comparing & Ordering Fractions
Example 3: Order the fractions from least to greatest:
3/4, 2/5, 5/8, 1/2.
FIND THE LCD
4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44
5: 5, 10, 15, 20, 25, 30, 35, 40, 45
8: 8, 16, 24, 32, 40
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42

26. Comparing & Ordering Fractions
Example 3: Order the fractions from least to greatest:
3/4, 2/5, 5/8, 1/2.
FIND THE LCD
4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44
5: 5, 10, 15, 20, 25, 30, 35, 40, 45
8: 8, 16, 24, 32, 40
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42

27. Comparing & Ordering Fractions
Example 3: Order the fractions from least to greatest:
3/4, 2/5, 5/8, 1/2.
LCD = 40 3 5 4 8 2 1 5 2

28. Comparing & Ordering Fractions
Example 3: Order the fractions from least to greatest:
3/4, 2/5, 5/8, 1/2.
LCD = 40 3 5 4 40 8 40 2 1 5 40 2 40

29. Comparing & Ordering Fractions
Example 3: Order the fractions from least to greatest:
3/4, 2/5, 5/8, 1/2. 2 1 5 3 , , , 5 2 8 4

30. Comparing & Ordering Fractions
Guided Practice
Replace each □ with <, >, or = to make a true sentence.
a) 4/15 □ 3/10 b) 4/6 □ 16/24 c) 3/4 □ 15/20
Order the fractions from least to greatest:
5/8, 3/4, 5/12, 5/6

31. Comparing & Ordering Fractions
Guided Practice
Replace each □ with <, >, or = to make a true sentence.
a) 4/15 □ 3/10 b) 4/6 □ 16/24 c) 3/4 □ 15/20
a) < b) = c) =
Order the fractions from least to greatest:
5/8, 3/4, 5/12, 5/6
5/12, 5/8, 3/4, 5/6

32. Comparing & Ordering Fractions
Independent Practice
Replace each □ with <, >, or = to make a true sentence.
a) 2/3 □ 4/7 b) 1/7 □ 5/6 c) 3/4 □ 4/6
Order the fractions from least to greatest:
2/3, 2/9, 5/6, 11/18

33. Comparing & Ordering Fractions
Independent Practice
Replace each □ with <, >, or = to make a true sentence.
a) 2/3 □ 4/7 b) 1/7 □ 5/6 c) 3/4 □ 4/6
a) > b) < c) >
Order the fractions from least to greatest:
2/3, 2/9, 5/6, 11/18
2/9, 11/18, 2/3, 5/6