math

1. Comparing &
Ordering
Fractions

2. 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.
Comparing & Ordering Fractions

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

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

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

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

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

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

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

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

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

12. Comparing Unlike Denominators
Example 2: Replace each □ with <, >, or = to make
a true sentence.
First, we need to find a COMMON DENOMINATOR so we can
rewrite the fraction using equivalent denominators.
Comparing & Ordering Fractions
a) 1/2 □ 3/8 b) 1/4 □ 9/12

13. Comparing Unlike Denominators
Example 2: Replace each □ with <, >, or = to make
a true sentence.
First, we need to find a COMMON DENOMINATOR so we can
rewrite the fraction using equivalent denominators.
Comparing & Ordering Fractions
a) 1/2 □ 3/8 b) 1/4 □ 9/12
This is why we learned how to find common multiples

14. Comparing Unlike Denominators
Example 2: Replace each □ with <, >, or = to make
a true sentence.
First, we need to find a COMMON DENOMINATOR so we can
rewrite the fraction using equivalent denominators.
Comparing & Ordering Fractions
a) 1/2 □ 3/8 b) 1/4 □ 9/12
This is why we learned how to find common multiples
We use multiples to find common denominators

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

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

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

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

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

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

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

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

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

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

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

26. Guided Practice
Replace each □ with <, >, or = to make a true
sentence.
Comparing & Ordering Fractions
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

27. Guided Practice
Replace each □ with <, >, or = to make a true
sentence.
Comparing & Ordering Fractions
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

28. Independent Practice
Replace each □ with <, >, or = to make a true
sentence.
Comparing & Ordering Fractions
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

29. Independent Practice
Replace each □ with <, >, or = to make a true
sentence.
Comparing & Ordering Fractions
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