Oilers/Plant Tenders (HHC) Civil Service Practice Exam

The sum of the fractions 3 1/4, 4 1/8, 6 3/8, and 125/8 equals:

1. 24 1/8

2. 25 3/8

3. 26 3/8

4. 27 1/4

The correct answer is: 26 3/8

To accurately determine the sum of the fractions 3 1/4, 4 1/8, 6 3/8, and 125/8, first, it’s useful to convert each mixed number and fractional representation into improper fractions for easier addition. Start with 3 1/4: - Convert it to an improper fraction: \(3 \times 4 + 1 = 12 + 1 = 13\), so it becomes \( \frac{13}{4} \). Next, for 4 1/8: - Again convert it to an improper fraction: \(4 \times 8 + 1 = 32 + 1 = 33\), which gives \( \frac{33}{8} \). For 6 3/8: - This converts to \(6 \times 8 + 3 = 48 + 3 = 51\), resulting in \( \frac{51}{8} \). 125/8 is already in the proper form. Now, convert all the fractions to have a common denominator to make the addition straightforward. The least common denominator between 4 and 8 is 8. Convert \( \frac{13}{4}