1. The problem is to convert mixed numbers to improper fractions. 2. The formula to convert a mixed number $a \frac{b}{c}$ to an improper fraction is: $$\frac{a \times c + b}{c}$$ where $a$ is the whole number, $b$ is the numerator, and $c$ is the denominator. 3. For the first mixed number $1 \frac{2}{4}$: $$1 \times 4 + 2 = 4 + 2 = 6$$ So the improper fraction is: $$\frac{6}{4}$$ 4. For the second mixed number $2 \frac{3}{4}$: $$2 \times 4 + 3 = 8 + 3 = 11$$ So the improper fraction is: $$\frac{11}{4}$$ 5. These improper fractions can be used for further calculations or comparisons. Final answers: $1 \frac{2}{4} = \frac{6}{4}$ $2 \frac{3}{4} = \frac{11}{4}$