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Comparing and Ordering Fractions
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Vocabulary Least Common Denominator (LCD) – the least common multiple of the denominators of two or more fractions.
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Cynthia and Mariana are kayaking down a river
Cynthia and Mariana are kayaking down a river. Cynthia kayaks a distance of 7/10 mile, and Mariana kayaks ¾ mile. Who kayaked the greater distance?
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Steps for comparing two or more fractions.
Find the LCD of the fractions. Use the LCD to write equivalent fractions. Compare the numerators.
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To find who kayaked the greater distance, you need to compare 7/10 and ¾. Steps: 1. 2. 3.
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Ordering Fractions Using the LCD
Order the fractions 2/3, 3/8, 1/6, and ¾ from least to greatest. Find the LCD of the fractions. Use the LCD to write equivalent fractions. Compare the numerators.
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White Boards Copy and complete the statement using <, >, or =.
5/ /12 5/ /10 3/ /4
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Order the fractions from least to greatest.
2/3, 5/6, ½, 1/6 9/14, 5/7, ¾, 5/28 5/48, ½, 1/6, 7/12
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