1. The problem is to convert the mixed number $1\frac{3}{4}$ into an improper fraction or decimal. 2. Recall that a mixed number consists of a whole number and a fraction. To convert it to an improper fraction, use the formula: $$\text{Improper fraction} = \frac{\text{(whole number)} \times \text{(denominator)} + \text{numerator}}{\text{denominator}}$$ 3. For $1\frac{3}{4}$, the whole number is 1, the numerator is 3, and the denominator is 4. 4. Substitute these values into the formula: $$\frac{1 \times 4 + 3}{4} = \frac{4 + 3}{4} = \frac{7}{4}$$ 5. So, $1\frac{3}{4} = \frac{7}{4}$ as an improper fraction. 6. To convert to a decimal, divide numerator by denominator: $$\frac{7}{4} = 7 \div 4 = 1.75$$ 7. Therefore, $1\frac{3}{4}$ equals $\frac{7}{4}$ or 1.75.