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Question

Difficulty: EasyFractions and Decimals

Four identical delivery vans have different amounts of fuel remaining in their tanks. Arrange the vehicles based on their remaining fuel fraction from the least amount to the greatest amount.

  1. 1Van R: 12\frac{1}{2} of a tank
  2. 2Van P: 35\frac{3}{5} of a tank
  3. 3Van S: 0.650.65 of a tank
  4. 4Van Q: 0.750.75 of a tank

Answer

The correct ascending sequence of fuel remaining is Van R, Van P, Van S, and Van Q.
By converting all given amounts into decimals (0.600.60, 0.750.75, 0.500.50, and 0.650.65), the values can be directly compared. 0.500.50 is the smallest and 0.750.75 is the largest, resulting in the correct ascending order of Van R, Van P, Van S, and Van Q.

Step-by-Step Solution

1
Convert all fractional fuel values into decimal form for straightforward comparison.
Van P (35\frac{3}{5}) becomes 0.60, and Van R (12\frac{1}{2}) becomes 0.50.
Converting all amounts to decimals provides a uniform format that is easier to logically order.
2
Order the decimal values from smallest to largest.
0.50<0.60<0.65<0.750.50 < 0.60 < 0.65 < 0.75.
The question specifically requires arranging the vehicles from the least amount of fuel to the greatest amount.

Key Concept

Converting basic fractions to decimals to compare and order numerical values.
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Topics

Fractions and Decimals

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