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EXAMPLE 2

STEP 1. Find the least common denominator of the fractions. The LCM of 16 , 4 , and 8 is 16 , so the LCD is 16. STEP 2. Use the least common denominator to write equivalent fractions. EXAMPLE 2. Standardized Test Practice. SOLUTION. =. =. =. =. 7. 4. =. =. 16. 7. 70. 71.

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EXAMPLE 2

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

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

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

  4. = = = = = = 3 24 17 2 3 3 7 7 5 5 STEP 2 Compare the fractions: 2 ,so 3 > 3 > 3 120 119 119 120 17 7 24 5 5 7 35 35 35 35 5 7 7 5 ANSWER The female orangutan is taller. EXAMPLE 3 Comparing Mixed Numbers

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

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

  7. Copy and complete the statement with <, >, or =. 17 2 2 ? . 7. 2 6 3 3 ANSWER 17 16 2 Because , you can write < < 6 6 29 6 for Examples 2 and 3 GUIDED PRACTICE

  8. 5 8. 2 Order the numbers , and fromleast to greatest. ANSWER 12 7 11 7 2 From least to greatest the numbers are : 9 4 9 11 5 , and 2 2 4 12 for Examples 2 and 3 GUIDED PRACTICE

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