Convert Decimal to Fraction: Express 0.4 in Fractional Form

To convert the decimal 0.4 to a fraction, follow these steps:

• Step 1: Write the decimal as a fraction.

0.4 as a fraction is $\frac{4}{10}$ because there is one digit after the decimal point.

• Step 2: Simplify the fraction.

To simplify $\frac{4}{10}$, find the greatest common divisor (GCD) of 4 and 10, which is 2.

Divide both the numerator and the denominator by their GCD:

$\frac{4 \div 2}{10 \div 2} = \frac{2}{5}$

Therefore, the fraction $\frac{4}{10}$ simplifies to $\frac{2}{5}$.

Thus, the decimal 0.4 can be expressed as the fraction $\frac{2}{5}$.