Convert 0.04 to a fraction.
Understand the Problem
The question is asking how to convert the decimal number 0.04 into a fraction. This involves expressing it in the form of a fraction where both the numerator and denominator are whole numbers.
Answer
The decimal number 0.04 converted to a fraction is $\frac{1}{25}$.
Answer for screen readers
The decimal number 0.04 as a fraction is $\frac{1}{25}$.
Steps to Solve
- Identify the Decimal Place Value
The decimal 0.04 has two decimal places, which corresponds to the hundredths place. This means we can express the decimal as a fraction over 100.
- Write the Decimal as a Fraction
Convert the decimal to a fraction by using the place value identified. We can write:
$$ 0.04 = \frac{4}{100} $$
- Simplify the Fraction
Next, we need to simplify the fraction $\frac{4}{100}$. We do this by finding the greatest common divisor (GCD) of the numerator and denominator, which is 4. Divide both by 4:
$$ \frac{4 \div 4}{100 \div 4} = \frac{1}{25} $$
- Final Fraction
Now, we have the simplified fraction that represents the decimal 0.04:
$$ 0.04 = \frac{1}{25} $$
The decimal number 0.04 as a fraction is $\frac{1}{25}$.
More Information
Converting decimals to fractions can help in understanding ratios and proportions in everyday math. It's also useful in situations where you need to perform calculations with fractions instead of decimal points.
Tips
Common mistakes include not recognizing the correct place value, leading to miswriting the fraction (e.g., writing $\frac{4}{10}$ instead of $\frac{4}{100}$). To avoid this, always count the number of decimal places accurately before setting up the fraction.
