This document provides instruction on comparing and ordering fractions. It defines key fraction terms like numerator, denominator, and least common denominator. It includes examples of comparing fractions with like and unlike denominators using <, >, = symbols. It also demonstrates ordering fractions from least to greatest by finding a common denominator. Guided and independent practice problems are provided for students to compare and order fractions.

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