Border Patrol Practice Exam

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What fraction represents the result of adding 1/3, 1/2, and 3/4?

11/12
16/12
19/12
10/12

The correct answer is: 19/12

To find the sum of the fractions 1/3, 1/2, and 3/4, you first need to determine a common denominator. The denominators in this case are 3, 2, and 4. The least common multiple of these numbers is 12. Next, convert each fraction to have a denominator of 12: - For 1/3: Multiply the numerator and denominator by 4 to get 4/12. - For 1/2: Multiply the numerator and denominator by 6 to get 6/12. - For 3/4: Multiply the numerator and denominator by 3 to get 9/12. Now, you can add these equivalent fractions together: 4/12 + 6/12 + 9/12 = (4 + 6 + 9) / 12 = 19/12. Thus, the result of adding 1/3, 1/2, and 3/4 is 19/12. This shows how you can sum fractions by finding a common denominator and converting them accordingly. The result, 19/12, is also an improper fraction, meaning it is greater than 1, which can be