Convert 0.04 to a Reduced Fraction: Decimal Transformation

Video Solution

Solution Steps

00:00 Convert to a simple and reduced fraction

00:03 Place the digits in the numerator

00:07 Move the decimal point right until the number is whole and not decimal

00:12 We moved 2 times, so the denominator will be equal to 100

00:17 Now we'll reduce as much as possible

00:23 We'll break down 100 into factors 4 and 25

00:30 We'll reduce what we can

00:35 And this is the solution to the question

Step-by-Step Solution

To solve the problem of writing 0.04 as a fraction, we will follow these steps:

Let's work through each step:

Step 1: The given decimal is 0.04. Recognizing that 0.04 is in the "hundredths" place, we can express it as:

$0.04 = \frac{4}{100}$

Step 2: Next, we simplify the fraction $\frac{4}{100}$ . To do this, we find the greatest common divisor (GCD) of 4 and 100, which is 4.

Step 3: Divide the numerator and the denominator by their GCD:

$\frac{4}{100} = \frac{4 \div 4}{100 \div 4} = \frac{1}{25}$

Therefore, the fraction representation of the decimal 0.04, in simplest form, is $\frac{1}{25}$ .