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## Comparing & Ordering Fractions

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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: