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Question

Difficulty: EasyConverting Between Fractions, Decimals, and Percents

A motor pool sergeant reviews a vehicle readiness report and notes that 35\frac{3}{5} of the transport trucks are fully operational. What percentage of the transport trucks are fully operational?

  1. 60%Answer
  2. B
    6%
  3. C
    37.5%
  4. D
    166.7%

Answer

60%
The correct percentage is found by executing the division indicated by the fraction. Dividing the numerator (3) by the denominator (5) gives the decimal 0.6. Multiplying this decimal by 100 scales it to a percentage, giving 60%.

Step-by-Step Solution

1
Convert the given fraction to a decimal value by dividing the numerator by the denominator.
3÷5=0.63 \div 5 = 0.6
Finding the decimal equivalent is the standard intermediate step for converting a fraction to a percentage.
2
Convert the resulting decimal to a percentage by multiplying it by 100.
0.6×100=60%0.6 \times 100 = 60\%
Percentages represent parts per hundred, so multiplying the decimal representation by 100 yields the correct percentage.

Key Concept

Converting fractions to percentages via division and decimal multiplication.

Alternative Method

Recognize that the denominator 5 is a factor of 100. Multiply both the numerator and the denominator by 20 to create an equivalent fraction over 100: (3 × 20) / (5 × 20) = 60 / 100, which is exactly 60%.
Estimated Time:45s
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Topics

Converting Between Fractions, Decimals, and Percents

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