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Comparing and Ordering Fractions

- Lesson 3-7

Strategy

- Make sure the denominators are the same.
- Compare the numerators.

- If the denominators are not the same, then

rewrite the fractions using a common denominator.

- The new fractions should be equivalent to the

original fractions.

Writing Equivalent Fractions

- One way to find a common denominator is to

multiply the two original denominators.

5

3

gt

4

6

6 x 4 24

20 gt 18

x 4

x 6

18

20

24

24

- Another way to compare fractions is to find the

LCM of both denominators. - Use the LCM as the new denominator in the

equivalent fractions.

7

5

lt

12

9

9, 18, 27, 36, 45

12, 24, 36, 48, 60

20 lt 21

x 3

x 4

20

21

36

36

Ordering Fractions

- Find the LCM of the denominators.
- Use the LCM to write equivalent fractions.
- Put the fractions in order using the numerators.

Example - Order from Least to Greatest

3

2

1

5

8

4

x 8

x 5

x 10

15

16

10

40

40

40

8, 16, 24, 32, 40, 48

1/4 lt 3/8 lt 2/5

5, 10, 15, 20, 25, 30, 35, 40

4, 8, 12, 16, 20, 24, 28, 32, 36, 40

Homework Time

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