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Difficulty: EasyFractions, Decimals, and Percentages

Four students are comparing the portion of their homework assignments they have completed:

* Jamie has completed 35%35\% of his assignment.
* Kayla has completed 38\frac{3}{8} of her assignment.
* Leo has completed 0.40.4 of his assignment.
* Mia has completed 12\frac{1}{2} of her assignment.

Arrange the students by the portion of their homework completed, from least to greatest.

  1. 1Jamie (35%35\%)
  2. 2Kayla (38\frac{3}{8})
  3. 3Leo (0.40.4)
  4. 4Mia (12\frac{1}{2})

Answer

Jamie (35%35\%), Kayla (38\frac{3}{8}), Leo (0.40.4), and Mia (12\frac{1}{2})
Converting all values to decimals yields 35%=0.3535\% = 0.35, 38=0.375\frac{3}{8} = 0.375, 0.4=0.400.4 = 0.40, and 12=0.50\frac{1}{2} = 0.50. Comparing these decimals gives 0.35<0.375<0.40<0.500.35 < 0.375 < 0.40 < 0.50, which corresponds to Jamie, Kayla, Leo, and Mia.

Step-by-Step Solution

1
Convert each portion to a decimal value to make them easy to compare.
Jamie: 35%=0.3535\% = 0.35
Kayla: 38=0.375\frac{3}{8} = 0.375
Leo: 0.4=0.400.4 = 0.40
Mia: 12=0.50\frac{1}{2} = 0.50
Converting all values to a common format (decimals) allows for direct numerical comparison.
2
Compare the decimal values from least to greatest.
0.35<0.375<0.40<0.500.35 < 0.375 < 0.40 < 0.50
This establishes the relative sizes of the portions.
3
Match each decimal back to the student and order them.
Jamie (35%35\%), Kayla (38\frac{3}{8}), Leo (0.40.4), Mia (12\frac{1}{2})
This provides the final ordered sequence.

Key Concept

Converting fractions, decimals, and percents to a single format to compare their values.
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Topics

Fractions, Decimals, and Percentages

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