Which of the following rational numbers are strictly greater than \frac{3}{5}? Select all … — GRE General Test

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

$\frac{7}{10}$ Cevap
$\frac{2}{3}$ Cevap
C
$\frac{5}{9}$
D
$\frac{4}{7}$
$\frac{11}{15}$ Cevap

Cevap

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.

Adım Adım Çözüm

Convert the benchmark fraction 3/5 to decimal form.

3/5 = 0.60.

Decimal conversion provides a clear standard for comparing rational numbers.

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.

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.

Anahtar Kavram

Comparing Rational Numbers and Fractions

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