1. **State the problem:** We need to find the value of $xy$ where $x=0.4$ and $y=0.954$. 2. **Convert decimals to fractions:** - $x=0.4=\frac{4}{10}$ - $y=0.954=\frac{954}{1000}$ 3. **Multiply the fractions:** $$xy=\frac{4}{10} \times \frac{954}{1000} = \frac{4 \times 954}{10 \times 1000} = \frac{3816}{10000}$$ 4. **Simplify the fraction:** Find the greatest common divisor (GCD) of 3816 and 10000. - GCD is 4. Divide numerator and denominator by 4: $$\frac{\cancel{4} \times 954}{\cancel{4} \times 2500} = \frac{954}{2500}$$ 5. **Check if further simplification is possible:** - 954 factors as $2 \times 3 \times 159$. - 2500 factors as $2^2 \times 5^4$. - No common factors remain. **Final answer:** $$xy=\frac{954}{2500}$$