Question

Arrange the given fractions in ascending order: $\frac{1}{3}, \frac{4}{7}, \frac{2}{5}, \frac{5}{6}, \frac{3}{5}$

• A. $\frac{5}{6}, \frac{1}{3}, \frac{4}{7}, \frac{2}{5}, \frac{3}{5}$
• B. $\frac{1}{3}, \frac{2}{5}, \frac{4}{7}, \frac{3}{5}, \frac{5}{6}$
• C. $\frac{2}{5}, \frac{1}{3}, \frac{3}{5}, \frac{4}{7}, \frac{5}{6}$
• D. $\frac{1}{3}, \frac{2}{5}, \frac{3}{5}, \frac{4}{7}, \frac{5}{6}$

Answer 1

Answer:

$\frac{1}{3}, \frac{2}{5}, \frac{4}{7}, \frac{3}{5}, \frac{5}{6}$

The correct option is B.

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To sort the fractions in ascending order (smallest to largest), convert each fraction into its decimal equivalent:

• $\frac{1}{3} \approx \mathbf{0.333}$

• $\frac{2}{5} = \mathbf{0.400}$

• $\frac{3}{5} = \mathbf{0.600}$

• $\frac{4}{7} \approx \mathbf{0.571}$

• $\frac{5}{6} \approx \mathbf{0.833}$

Comparing the decimal values:
0.333 < 0.400 < 0.571 < 0.600 < 0.833

Replacing them back with their original fractions gives the correct ascending sequence:
\frac{1}{3} < \frac{2}{5} < \frac{4}{7} < \frac{3}{5} < \frac{5}{6}

This matches Option B.