Arrange the fractions 5/9, 4/7, 3/5, and 2/3 in ascending order.

Question

Arrange the fractions 5/9, 4/7, 3/5, and 2/3 in ascending order.

1. A. 3/5,\ 4/7,\ 2/3,\ 5/9
2. B. 5/9,\ 4/7,\ 3/5,\ 2/3 (Correct answer)
3. C. 2/3,\ 3/5,\ 4/7,\ 5/9
4. D. 4/7,\ 5/9,\ 2/3,\ 3/5

Correct Answer

Option B — 5/9,\ 4/7,\ 3/5,\ 2/3

Detailed Solution & Explanation

The correct answer is $\frac{5}{9},\ \frac{4}{7},\ \frac{3}{5},\ \frac{2}{3}$.

Key Points

• Convert each fraction to a decimal to compare: 5/9 ≈ 0.556, 4/7 ≈ 0.571, 3/5 = 0.600, 2/3 ≈ 0.667.
• In increasing order these read $\frac{5}{9} < \frac{4}{7} < \frac{3}{5} < \frac{2}{3}$.
• For unlike fractions, decimal conversion (or cross-multiplication of neighbours) is the fastest safe ordering method; eyeballing numerators or denominators alone is unreliable.