How do we compare fractions with unlike denominators? We write them with the least common denominator and compare the numerators. Procedure Comparing Fractions with Unlike Denominators 1) Rewrite the fractions with the least common denominator. 2) Compare the numerators. The fraction with the greater numerator is the larger fraction. Fill in the blank with or . a) 5 8 _____ 9 16 b) 13 9 _____ 7 4 Solution a) First, write each fraction with the LCD: LCD 16. 5 8 2 2 10 16 9 16 already has the LCD. Rewrite 5 8 _____ 9 16 as 10 16 _____ 9 16 . 5 8 10 16 Because the numerator of 10 16 is greater than the numerator of 9 16 , we write 10 16 9 16 or 5 8 9 16 Equivalent fractions b) Write each fraction with a denominator of 36. 13 9 4 4 52 36 7 4 9 9 63 36 Rewrite 13 9 _____ 7 4 as 52 36 _____ 63 36 . The numerator of 52 36 is less than the numerator of 63 36 , so 52 36 63 36 Equivalent or 13 9 7 4 Equivalent EXAMPLE 2 You can also draw a picture to visualize each fraction. YOU TRY 2 Fill in the blank with or . a) 5 12 _____ 11 24 b) 9 5 _____ 10 7 www.mhhe.com/messersmith SECTION 4.6 Order Relations and Order of Operations 273
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