Convert Decimal to Fraction: Express 0.4 in Fractional Form

Question

Write 0.4 as a fraction.

00:00 Convert to a simple and reduced fraction

00:03 Place the numbers in the denominator

00:06 Move the decimal point right until the number is whole and not decimal

00:09 We moved once, so the denominator will be equal to 10

00:15 Now let's reduce as much as possible

00:20 Break down 4 into factors 2 and 2, and 10 into factors 5 and 2

00:23 Reduce what we can

00:28 And this is the solution to the question

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

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

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 $\frac{2}{5}$ .

$\frac{2}{5}$