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# 2.1 comparing & ordering fractions

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### 2.1 comparing & ordering fractions

1. 1. To compare fractions youcan draw a picture or usethe “Butterfly” method.
2. 2. 4365<Draw a picture Use >, <, or =.
3. 3. Use >, <, or =.53329 10<<“Butterfly” method
4. 4. Use >, <, or =.1034112 10>>“Butterfly” method
5. 5. To order fractions youcan draw a picture oruse the Least CommonDenominator (LCD).
6. 6. 4365Draw a pictureOrder :least to greatest21
7. 7. 432165Order the fractions fromleast to greatest., ,
8. 8. One way to compare ororder fractions is toexpress them with thesame denominator.
9. 9. Any common denominatorcould be used. But theLeast CommonDenominator (LCD)makes the computationeasier.
10. 10. The Least CommonDenominator is theLeast Common Multipleof the denominators.LCD = LCM
11. 11. Use LCDList the fractions in orderfrom greatest to least.32,95,127,61
12. 12. Use LCDStep 1: Find theLCM of thedenominators32,95,127,61
13. 13. 6, 12, 18, 24, 30, 36, 42, 48…LCD = 36Find theLCD:12, 24, 36, 48 …9, 18, 27, 36, 45 …3, 6, 9, 12, 15, 18, 21, 24,27, 30, 33, 36 …
14. 14. Step 2: Writeequivalentfractions.=6136x 6x 66=12736x 3x 3 21=9536x 4x 420 =3236x 12x 1224
15. 15. G LStep 3:Compare thenumerators=61366=1273621=953620 =323624
16. 16. Use LCDIn order fromgreatest to least:61,95,127,32