Question

order these numbers from least to greatest.
3.318, 3\frac{3}{11}, \frac{33}{10}, 3.35

3.318 3\frac{3}{11} \frac{33}{10} 3.35

\boxed{} < \boxed{} < \boxed{} < \boxed{}

Explanation:

Step1: Convert mixed number to decimal

$3\frac{3}{11} = 3 + \frac{3}{11} \approx 3 + 0.2727 = 3.2727$

Step2: Convert fraction to decimal

$\frac{33}{10} = 3.3$

Step3: Compare all decimals

$3.2727 < 3.3 < 3.318 < 3.35$

Step4: Map back to original values

Replace decimals with original numbers.

Answer:

$3\frac{3}{11} < \frac{33}{10} < 3.318 < 3.35$