Question

Which statements are true? Select the two. A. 2/6>7/8 b. 7/10<5/12 c. 2/11<5/7 d. 4/9 >11/20 e. 6/10>4/9

Answer 1

To determine which statements are true, we need to compare the fractions in each statement.

A. \( \frac{2}{6} > \frac{7}{8} \)
- \( \frac{2}{6} = \frac{1}{3} \approx 0.333 \)
- \( \frac{7}{8} = 0.875 \)
- \( \frac{1}{3} < \frac{7}{8} \)
- **False**

B. \( \frac{7}{10} < \frac{5}{12} \)
- \( \frac{7}{10} = 0.7 \)
- \( \frac{5}{12} \approx 0.4167 \)
- \( 0.7 > 0.4167 \)
- **False**

C. \( \frac{2}{11} < \frac{5}{7} \)
- \( \frac{2}{11} \approx 0.1818 \)
- \( \frac{5}{7} \approx 0.7143 \)
- \( 0.1818 < 0.7143 \)
- **True**

D. \( \frac{4}{9} > \frac{11}{20} \)
- \( \frac{4}{9} \approx 0.4444 \)
- \( \frac{11}{20} = 0.55 \)
- \( 0.4444 < 0.55 \)
- **False**

E. \( \frac{6}{10} > \frac{4}{9} \)
- \( \frac{6}{10} = 0.6 \)
- \( \frac{4}{9} \approx 0.4444 \)
- \( 0.6 > 0.4444 \)
- **True**

The two true statements are **C** and **E**.