1. Comparing & Ordering
Fractions

2. To compare fractions you can draw a picture or use the “Butterfly” method.

3. Draw a picture
Use >, <, or =.
<

4. Use >, <, or =.
“Butterfly” method 9
< 10
<

5. “Butterfly” method
Use >, <, or =. 12 10
>
>

6. To order fractions you can draw a picture or use the Least Common Denominator (LCD).

7. Order :
least to greatest
Draw a picture

8. Order the fractions from least to greatest., ,

9. One way to compare or order fractions is to express them with the same denominator.

10. Any common denominator could be used
Any common denominator could be used. But the Least Common Denominator (LCD) makes the computation easier.

11. The Least Common Denominator is the Least Common Multiple of the denominators.
LCD = LCM

12. List the fractions in order from greatest to least.
Use LCD
List the fractions in order from greatest to least.

13. Step 1: Find the LCM of the denominators
Use LCD
Step 1: Find the LCM of the denominators

14. Find the LCD:
6, 12, 18, 24, 30, 36, 42, 48…
12, 24, 36, 48 …
9, 18, 27, 36, 45 …
3, 6, 9, 12, 15, 18, 21, 24,
27, 30, 33, 36 …
LCD = 36

15. 6 21 36 36 20 24 36 36 Step 2: Write equivalent fractions. x 6 x 3 x 6

16. Step 3: Compare the numerators
G L 21 6 36 36 24 20 36 36

17. In order from greatest to least:
Use LCD
In order from greatest to least: