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Make a number line! Make the largest number 1 and the smallest number 1/18 Fractions which have the same value, even though they may look different. Write two equivalent fractions for every fraction on your number line. Use this website to help… http://www.mathsisfun.com/numbers/fracti on-number-line.html When we order numbers, we can do this fairly easily. We look at them and place them in order from least to greatest. 50 9 6 7 12 24 When we order fractions with a common denominator, we order them the same way. We look at the numerator (the top number) and place the numbers in order from least to great. Order the following fractions 4/5 9/5 1/5 3/5 When we compare numbers, we use the “alligator mouth method, where the alligator’s mouth will always go towards the greater number. 22.2 20.9 When we compare fractions with common denominators, we use the same method. We look at the numerator then place the >. <, or = symbol. 3/9 5/9 To compare fractions you can draw a picture or use the “Butterfly” method. Draw a picture 3 4 Use >, <, or =. < 5 6 “Butterfly” method Use >, <, or =. 9 < 3 5 < 10 2 3 “Butterfly” method Use >, <, or =. 12 3 10 > > 10 1 4 To order fractions you can draw a picture or use the Least Common Denominator (LCD). Draw a picture Order : least to greatest 3 4 1 2 5 6 Order the fractions from least to greatest. 1 2 3 5 , , 4 6 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. 1 7 5 2 , , , 6 12 9 3 Use LCD Step 1: Find the LCM of the denominators 1 7 5 2 , , , 6 12 9 3 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 1 6 6 x 6 36 5 x 4 20 9 x 4 36 7 x 3 21 12 x 3 36 2x 12 24 3x 12 36 Step 3: Compare the numerators 1 6 6 36 5 20 9 36 G 7 21 36 12 2 24 36 3 L Use LCD In order from greatest to least: 2 7 5 1 , , , 3 12 9 6