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write 0.4 as a fraction in simplest form.

Explanation:

Step1: Write decimal as fraction

0.4 can be written as $\frac{0.4}{1}$. To eliminate the decimal, multiply numerator and denominator by 10: $\frac{0.4\times10}{1\times10}=\frac{4}{10}$.

Step2: Simplify the fraction

Find the greatest common divisor (GCD) of 4 and 10, which is 2. Divide both numerator and denominator by 2: $\frac{4\div2}{10\div2}=\frac{2}{5}$.

Answer:

$\frac{2}{5}$