Subjects algebra

Decimal Fraction Comparison 7C7A1A

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1. **Stating the problem:** We need to compare the decimal number $0.398$ with the fraction $\frac{2}{5}$ and determine which of the statements is true: - $0.398 > \frac{2}{5}$ - $0.398 < \frac{2}{5}$ - $0.398 = \frac{2}{5}$ 2. **Convert the fraction to decimal:** To compare easily, convert $\frac{2}{5}$ to decimal using the formula: $$\text{Decimal} = \frac{\text{Numerator}}{\text{Denominator}} = \frac{2}{5}$$ Calculate: $$\frac{2}{5} = 0.4$$ 3. **Compare the two decimals:** Now compare $0.398$ and $0.4$: - $0.398$ is less than $0.4$ because $0.398 < 0.4$ 4. **Conclusion:** Therefore, the true statement is: $$0.398 < \frac{2}{5}$$ which corresponds to statement 2. **Final answer:** Statement 2 is true.