2/3, 7/12, 17/24, 3/4 in order from least to greatest

Answer 1

To compare the fractions \( \frac{2}{3} \), \( \frac{7}{12} \), \( \frac{17}{24} \), and \( \frac{3}{4} \), we can convert them into decimal form or find a common denominator.

Method: Convert to Decimal

1. \( \frac{2}{3} \approx 0.6667 \)
2. \( \frac{7}{12} \approx 0.5833 \)
3. \( \frac{17}{24} \approx 0.7083 \)
4. \( \frac{3}{4} = 0.75 \)

Comparisons:

• \( 0.5833 < 0.6667 < 0.7083 < 0.75 \)

Conclusion:

In order from least to greatest, the fractions are: \[ \frac{7}{12}, \frac{2}{3}, \frac{17}{24}, \frac{3}{4} \]