Oilers/Plant Tenders (HHC) Civil Service Practice Exam

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If a bucket capable of carrying 5 3/4 cubic yards is loaded to 3/4 of its capacity, it will be carrying approximately __________ cubic yards.

3 3/4
4 1/4
3 1/4
5 1/4

The correct answer is: 4 1/4

To find out how much the bucket is carrying when loaded to 3/4 of its capacity, we need to perform a calculation based on the capacity of the bucket, which is 5 3/4 cubic yards. First, it is essential to convert 5 3/4 into an improper fraction. This is done by multiplying the whole number (5) by the denominator (4) and adding the numerator (3): 5 * 4 = 20 20 + 3 = 23 Thus, 5 3/4 is equivalent to 23/4 cubic yards. Next, we need to calculate 3/4 of 23/4. This involves multiplying the two fractions: (3/4) * (23/4) = (3 * 23) / (4 * 4) = 69 / 16 cubic yards. Now, to get a more understandable measurement, we can convert 69/16 back into a mixed number. Dividing 69 by 16 gives us 4 with a remainder: 69 ÷ 16 = 4 remainder 5. This means that 69/16 cubic yards is equal to 4 5/16 cubic yards. To find