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Comparing & Ordering Fractions. Objectives. TSW compare and fractions with like and unlike denominators using fraction pieces, drawings, and the butterfly method. I can compare and order fractions with like and unlike denominators. Important Words. Numerator Denominator Like Unlike.
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Comparing & Ordering Fractions
Objectives TSW compare and fractions with like and unlike denominators using fraction pieces, drawings, and the butterfly method. I can compare and order fractions with like and unlike denominators.
Important Words • Numerator • Denominator • Like • Unlike
To compare fractions you can draw a picture or use the “Butterfly” method.
Draw a picture Use >, <, or =. <
Comparing with like denominators 321421 7 7 6 6 3 3 You have to look at the parts and find which one is bigger.
Use >, <, or =. “Butterfly” method 9 < 10 <
Use >, <, or =. “Butterfly” method 12 10 > >
To order fractions you can draw a picture or use the Least Common Denominator (LCD).
Order : least to greatest Draw a picture
One way to compare or order fractions is to express them with the same denominator.
Any common denominator could be used. But the Least Common Denominator (LCD) makes the computation easier.
The Least Common Denominator is the Least Common Multiple of the denominators. LCD = LCM
Use LCD List the fractions in order from greatest to least.
Use LCD Step 1: Find the LCM of the denominators
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
Step 2: Write equivalent fractions. x 6 6 21 x 3 36 36 x 6 x 3 x 4 20 24 x 12 36 36 x 4 x 12
Step 3: Compare the numerators G L 21 6 36 36 24 20 36 36
Use LCD In order from greatest to least: