| To compare fractions and mixed numbers, convert all to improper fractions with a common denominator, or convert to decimals. |
| Convert all numbers to the same form. Use decimals or a common denominator of 8. |
| \(3\dfrac{3}{4} = \dfrac{15}{4} = \dfrac{30}{8}\) | = | 3.75 |
| \(\dfrac{33}{8}\) | = | 4.125 |
| \(\dfrac{17}{4} = \dfrac{34}{8}\) | = | 4.25 |
| 4 = \(\dfrac{32}{8}\) | = | 4.0 |
| Decreasing order (largest first): 4.25 > 4.125 > 4.0 > 3.75 |
| Order | = | \(\dfrac{17}{4}, \dfrac{33}{8}, 4, 3\dfrac{3}{4}\) |
Final Answer: 17/4, 33/8, 4, 3 3/4