Explanation Given information: The provided fraction is, 1 3 , 4 9 , 3 4 . Formula used: Use the following steps for determining the least common denominator of two or more fractions with the use of prime number are, Step1: Write all the denominators in a row. Step2: Now find a prime number that divides evenly into any of the denominators and then write that prime number to the left of the row and divide while placing all quotients and undivided numbers in the next row down. Step3: Repeat the above process until new row contains all ones. Step4: Multiply all the prime numbers on the left to get the LCD of the fractions. Calculation: Consider the following fraction, 1 3 , 4 9 , 3 4 To find the LCD by inspection, just use the definition of Least Common Denominator that is it is a smallest number that is a multiple of each of the given denominators. Now the denominators are 3,9 and 4. Multiples of 3 are, 3, 6, 9, 12,15,18,21 and so on. Similarly of 9 are, 9, 18, 27, 36, and so on. Similarly of 4 are, 4, 8, and 12,16,20,24,28,32,36 and so on. By observing the above lists one can see that 36 is the smallest multiple of 3,9 and 4

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ISBN: 9781305888715

Author: Brechner

Publisher: CENGAGE LEARNING - CONSIGNMENT

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Chapter 2.II, Problem 2RE

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To calculate: The least common denominator for the fraction, 13,49,34 by inspection and then with the use of the prime number method.

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The least common denominator for the fraction, 1 3 , 4 9 , 3 4 by inspection and then with the use of the prime number method.

Solution Summary: The author explains how to determine the least common denominator of two or more tions with the use of prime number.

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To calculate: The least common denominator for the fraction, 13,49,34 by inspection and then with the use of the prime number method.

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Chapter 2 Solutions