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EXAMPLE 2 Standardized Test Practice SOLUTION Find the least common denominator of the fractions. The LCM of 16, 4, and 8 is 16, so the LCD is 16. STEP 1 STEP 2 Use the least common denominator to write equivalent fractions.

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EXAMPLE 2 Standardized Test Practice 4 7 16 = 71 16 = 4 16 + 7 16 19 4 76 16 = 35 8 = 35 2 8 2 70 16 = STEP 3 Compare the numerators: 70 < 71, 71 < 76, so and. 70 16 71 16 < 71 16 76 16 < 19 4 4 = 35 8 19 4 ANSWER From least to greatest, the numbers are, 4 7 16 and The correct answer is D.

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EXAMPLE 3 Comparing Mixed Numbers SOLUTION Write equivalent fractions using the LCD, 35. STEP 1 Orangutans A female orangutan is about 3 7 3 is about 2 5 3 feet tall. Which of the two orangutans is taller? feet tall. A male

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EXAMPLE 3 Comparing Mixed Numbers 3 3 7 = 24 7 = 24 5 7 5 = 120 35 3 2 5 = 17 5 = 17 7 5 7 = 119 35 The female orangutan is taller. ANSWER STEP 2 Compare the fractions: 120 35 > 119 35,so 3 7 > 3 2 5 3

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GUIDED PRACTICE for Examples 2 and 3 Copy and complete the statement with, or =. 5.5. 16 5 1 3 ?. 3 Because <, you can write 48 15 ANSWER 50 15 16 5 <. 3 1 3

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GUIDED PRACTICE for Examples 2 and 3 Copy and complete the statement with, or =. 6. 1 4 5 ?. 21 12 ANSWER Because, you can write 108 60 > 105 60 1 4 5 21 12 >

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GUIDED PRACTICE for Examples 2 and 3 2 3 Copy and complete the statement with, or =. 7.7. 2 ?. 17 6 ANSWER Because, you can write 16 6 < 29 6 2 2 3 < 17 6

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GUIDED PRACTICE for Examples 2 and 3 8.8. Order the numbers, and from least to greatest. 2 7 9 2 5 12 11 4 ANSWER From least to greatest the numbers are : 2 5 12 11 4, and 2 7 9

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Fractions – Adding Fractions

Fractions – Adding Fractions

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