1. **State the problem:** Convert the decimals 3.125 and 0.48 to fractions, then simplify the product of 14.56 and 7.3. 2. **Convert 3.125 to a fraction:** 3.125 means 3 and 125 thousandths. Express as $$\frac{3125}{1000}$$. Simplify by dividing numerator and denominator by 125: $$\frac{\cancel{3125}^{25}}{\cancel{1000}^{8}} = \frac{25}{8}$$. 3. **Convert 0.48 to a fraction:** 0.48 means 48 hundredths. Express as $$\frac{48}{100}$$. Simplify by dividing numerator and denominator by 4: $$\frac{\cancel{48}^{12}}{\cancel{100}^{25}} = \frac{12}{25}$$. 4. **Simplify 14.56 × 7.3:** First, convert decimals to fractions: 14.56 = $$\frac{1456}{100}$$, 7.3 = $$\frac{73}{10}$$. Multiply: $$\frac{1456}{100} \times \frac{73}{10} = \frac{1456 \times 73}{1000}$$. Calculate numerator: $$1456 \times 73 = 106288$$. So, $$\frac{106288}{1000}$$. Simplify by dividing numerator and denominator by 8: $$\frac{\cancel{106288}^{13286}}{\cancel{1000}^{125}} = \frac{13286}{125}$$. Convert back to decimal: $$13286 \div 125 = 106.288$$. **Final answers:** - 3.125 = $$\frac{25}{8}$$ - 0.48 = $$\frac{12}{25}$$ - 14.56 × 7.3 = 106.288