Question

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

• A. 3/5, 4/7, 2/3, 5/9
• B. 5/9, 4/7, 3/5, 2/3
• C. 2/3, 3/5, 4/7, 5/9
• D. 4/7, 5/9, 2/3, 3/5

Answer 1

Answer:

B. 5/9, 4/7, 3/5, 2/3

We compare the fractions $( \frac{5}{9}, \frac{4}{7}, \frac{2}{3}, \frac{3}{5} )$.

Convert to decimals (or compare):

• $( \frac{5}{9} \approx 0.556 )$

• $( \frac{4}{7} \approx 0.571 )$

• $( \frac{3}{5} = 0.6 )$

• $( \frac{2}{3} \approx 0.667 )$

Now arrange in ascending order (smallest to largest):

\frac{5}{9} < \frac{4}{7} < \frac{3}{5} < \frac{2}{3}