Which fractions are the largest in each question? A) \( 2 / 5 \) or \( 1 / 10 \) B) \( 1 / 2 \) or \( 1 / 6 \) C) \( 4 / 10 \) or \( 1 / 20 \) D) \( 3 / 6 \) or \( 4 / 8 \)

To determine which fractions are the largest in each question, we can compare them by finding a common denominator or converting them to decimal form. A) \( \frac{2}{5} \) or \( \frac{1}{10} \) - Convert \( \frac{2}{5} \) to a denominator of 10: \[ \frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10} \] - Now compare \( \frac{4}{10} \) and \( \frac{1}{10} \): \[ \frac{4}{10} > \frac{1}{10} \] - **Largest: \( \frac{2}{5} \)** B) \( \frac{1}{2} \) or \( \frac{1}{6} \) - Convert \( \frac{1}{2} \) to a denominator of 6: \[ \frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6} \] - Now compare \( \frac{3}{6} \) and \( \frac{1}{6} \): \[ \frac{3}{6} > \frac{1}{6} \] - **Largest: \( \frac{1}{2} \)** C) \( \frac{4}{10} \) or \( \frac{1}{20} \) - Convert \( \frac{4}{10} \) to a denominator of 20: \[ \frac{4}{10} = \frac{4 \times 2}{10 \times 2} = \frac{8}{20} \] - Now compare \( \frac{8}{20} \) and \( \frac{1}{20} \): \[ \frac{8}{20} > \frac{1}{20} \] - **Largest: \( \frac{4}{10} \)** D) \( \frac{3}{6} \) or \( \frac{4}{8} \) - Simplify \( \frac{3}{6} \) to \( \frac{1}{2} \) and simplify \( \frac{4}{8} \) to \( \frac{1}{2} \): \[ \frac{3}{6} = \frac{1}{2}, \quad \frac{4}{8} = \frac{1}{2} \] - Both fractions are equal: \[ \frac{3}{6} = \frac{4}{8} \] - **Largest: Both are equal** In summary: A) \( \frac{2}{5} \) B) \( \frac{1}{2} \) C) \( \frac{4}{10} \) D) Both are equal \( \frac{3}{6} = \frac{4}{8} \)