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Comparing & Ordering Fractions.

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Presentation on theme: "Comparing & Ordering Fractions."— Presentation transcript:

1 Comparing & Ordering Fractions

2 Warm-Up: > is the ________ than symbol
9/17/15 & 9/18/15 Warm-Up: > is the ________ than symbol Compare these two fractions: ½___¼ Order from least to greatest: ⅝,⅛,⅞,⅜,⅔ _________________

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

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

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

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

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

8 Order : least to greatest Draw a picture

9 Order the fractions from least to greatest.
, ,

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

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

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

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

14 Step 1: Find the LCM of the denominators
Use LCD Step 1: Find the LCM of the denominators

15 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

16 6 21 36 36 20 24 36 36 Step 2: Write equivalent fractions. x 6 x 3 x 6

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

18 In order from greatest to least:
Use LCD In order from greatest to least:


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