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Difficulty: EasyFractions and Rational Numbers

Which of the following rational numbers are strictly greater than 35\frac{3}{5}? Select all that apply.

  1. 710\frac{7}{10}Answer
  2. 23\frac{2}{3}Answer
  3. C
    59\frac{5}{9}
  4. D
    47\frac{4}{7}
  5. 1115\frac{11}{15}Answer

Answer

The fractions greater than 3/5 are 7/10, 2/3, and 11/15.
Converting 3/5 to decimal form yields 0.60. Evaluating the options: 7/10 equals 0.70, 2/3 is approximately 0.667, and 11/15 is approximately 0.733. Because each of these three values is strictly greater than 0.60, all three are correct choices.

Step-by-Step Solution

1
Convert the benchmark fraction 3/5 to decimal form.
3/5 = 0.60.
Decimal conversion provides a clear standard for comparing rational numbers.
2
Convert each given choice to decimal form and compare it to 0.60.
7/10 = 0.70; 2/3 ≈ 0.667; 5/9 ≈ 0.556; 4/7 ≈ 0.571; 11/15 ≈ 0.733.
Direct comparison reveals which decimals exceed 0.60.
3
Select all fractions whose values exceed 0.60.
The values 0.70, 0.667, and 0.733 are all strictly greater than 0.60.
The corresponding fractions 7/10, 2/3, and 11/15 satisfy the given condition.

Key Concept

Comparing Rational Numbers and Fractions
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Topics

Fractions and Rational Numbers

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