37) 7 12 and 8 9 38) 9 10 and 1 8 39) 11 6 and 5 7 40) 10 7 and 4 9 41) In your own words, explain how to write two fractions as equivalent fractions with the least common denominator. 42) Professor Bradley asks his students to write 1 4 and 11 12 as equivalent fractions with the least common denominator. Sameer gets 1 4 6 24 and 11 12 22 24 . Tosh gets 1 4 3 12 and leaves 11 12 as it is. Who has used the least common denominator? Identify the least common denominator of the three given fractions. Then, write each as an equivalent fraction with the LCD as its denominator. 43) 1 4 , 3 8 , and 1 16 44) 3 4 , 11 16 , and 1 32 45) 5 14 , 1 2 , and 9 28 46) 5 8 , 1 6 , and 13 24 47) 5 12 , 5 6 , and 4 9 48) 1 20 , 4 5 , and 3 8 49) 7 10 , 3 4 , and 1 5 50) 5 8 , 8 9 , and 1 6 51) 4 5 , 1 6 , and 2 15 52) 1 2 , 2 3 , and 3 10 53) 2 9 , 7 12 , and 9 8 54) 5 12 , 8 21 , and 11 7 Use prime factorization to fi nd the least common denominator of the two fractions. Then, write each fraction as an equivalent fraction with the LCD as its denominator. 55) 5 18 and 7 30 56) 3 16 and 9 40 57) 5 32 and 11 48 58) 9 12 and 7 28 59) 5 14 and 3 26 60) 15 16 and 3 28 61) 5 18 and 3 32 62) 13 28 and 7 36 63) 13 78 and 31 104 64) 23 57 and 45 76 R1) If your friend did not know how to fi nd the least common denominator for a group of fractions, would you be able to explain it to her? How would you explain it? R2) Which operations would you be able to perform on the fractions in Exercises 55 to 64? www.mhhe.com/messersmith SECTION 4.3 Finding the Least Common Denominator 241
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