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

Arrange the fractions 59,47,35\frac{5}{9}, \frac{4}{7}, \frac{3}{5} and 23\frac{2}{3} in ascending order.
भिन्नों 59,47,35\frac{5}{9}, \frac{4}{7}, \frac{3}{5} और 23\frac{2}{3} को आरोही क्रम में व्यवस्थित कीजिए।

Options / विकल्प

A. 35,47,23,59\frac{3}{5}, \frac{4}{7}, \frac{2}{3}, \frac{5}{9}

B. 59,47,35,23\frac{5}{9}, \frac{4}{7}, \frac{3}{5}, \frac{2}{3}

C. 23,35,47,59\frac{2}{3}, \frac{3}{5}, \frac{4}{7}, \frac{5}{9}

D. 47,59,23,35\frac{4}{7}, \frac{5}{9}, \frac{2}{3}, \frac{3}{5}


Answer / उत्तर

Option B

59,47,35,23\frac{5}{9}, \frac{4}{7}, \frac{3}{5}, \frac{2}{3}

Solution / समाधान

Shortcut Trick / शॉर्टकट ट्रिक

Convert the fractions into percentages for easy comparison.
आसान तुलना के लिए भिन्नों को प्रतिशत में बदलें।

  • 5955.55%\frac{5}{9} \approx 55.55\%
  • 4757.14%\frac{4}{7} \approx 57.14\%
  • 35=60%\frac{3}{5} = 60\%
  • 2366.67

Ascending Order / आरोही क्रम

55.55%<57.14%<60%<66.67%55.55\% < 57.14\% < 60\% < 66.67\%

Therefore,

59<47<35<23\frac{5}{9} < \frac{4}{7} < \frac{3}{5} < \frac{2}{3}

अतः,

59<47<35<23\frac{5}{9} < \frac{4}{7} < \frac{3}{5} < \frac{2}{3}

Correct Answer / सही उत्तर:

59,47,35,23\frac{5}{9}, \frac{4}{7}, \frac{3}{5}, \frac{2}{3}
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