Arrange the fractions \(\dfrac{5}{9}\), \(\dfrac{4}{7}\), \(\dfrac{3}{5}\), and \(\dfrac{2}{3}\) in ascending order.
\(\dfrac{5}{9}, \dfrac{4}{7}, \dfrac{3}{5}, \dfrac{2}{3}\)
Step 1 – Convert each fraction to a decimal for easy comparison:
\(\dfrac{5}{9} \approx 0.5556\)
\(\dfrac{4}{7} \approx 0.5714\)
\(\dfrac{3}{5} = 0.6000\)
\(\dfrac{2}{3} \approx 0.6667\)
Step 2 – Arrange in ascending order:
\(0.5556 < 0.5714 < 0.6000 < 0.6667\)
\(\dfrac{5}{9} < \dfrac{4}{7} < \dfrac{3}{5} < \dfrac{2}{3}\)
Hence, the correct answer is \(\dfrac{5}{9}, \dfrac{4}{7}, \dfrac{3}{5}, \dfrac{2}{3}\) → option B.
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