To convert the decimal 0.4 to a fraction, you can follow these steps:
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Recognize that 0.4 is the same as 4 tenths, which can be written as: \[ 0.4 = \frac{4}{10} \]
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Next, simplify the fraction. The greatest common divisor (GCD) of 4 and 10 is 2. So, we can divide both the numerator and denominator by their GCD: \[ \frac{4 \div 2}{10 \div 2} = \frac{2}{5} \]
Thus, the decimal 0.4 can be expressed as the fraction \( \frac{2}{5} \).