Oilers/Plant Tenders (HHC) Civil Service Practice Exam

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What is the sum of the following measurements: 7/8", 3/4", 1/2", and 3/8"?

2 inches
2 1/4 inches
2 1/2 inches
3 inches

The correct answer is: 2 1/2 inches

To find the sum of the measurements 7/8", 3/4", 1/2", and 3/8", it is helpful to convert all the fractions to a common denominator. The smallest common denominator for these fractions is 8. 1. Start by converting each fraction: - 7/8 remains 7/8. - 3/4 can be converted to eighths: $3/4 = (3 \times 2)/(4 \times 2) = 6/8$. - 1/2 can be converted to eighths: $1/2 = (1 \times 4)/(2 \times 4) = 4/8$. - 3/8 remains 3/8. 2. Now the fractions to be summed are: - 7/8 + 6/8 + 4/8 + 3/8. 3. Adding these together: - $7/8 + 6/8 = 13/8$ - $13/8 + 4/8 = 17/8$ - \(17/8 + 3/8 = 20/8