0.04 as a fraction in simplest form
Understand the Problem
The question is asking to convert the decimal 0.04 into a fraction and simplify it to its simplest form. The approach involves representing 0.04 as a fraction by placing it over 1, multiplying both the numerator and the denominator to eliminate the decimal, and then simplifying it by finding the greatest common divisor.
Answer
The simplified form of 0.04 as a fraction is $\frac{1}{25}$.
Answer for screen readers
The simplified form of the decimal 0.04 as a fraction is $\frac{1}{25}$.
Steps to Solve
- Convert Decimal to Fraction
We start by expressing the decimal 0.04 as a fraction:
$$ \frac{0.04}{1} $$
- Eliminate the Decimal
To remove the decimal point, we can multiply both the numerator and the denominator by 100 (since there are two decimal places):
$$ \frac{0.04 \times 100}{1 \times 100} = \frac{4}{100} $$
- Simplify the Fraction
Next, we need to simplify the fraction $\frac{4}{100}$. To do this, we find the greatest common divisor (GCD) of 4 and 100, which is 4:
$$ \frac{4 \div 4}{100 \div 4} = \frac{1}{25} $$
The simplified form of the decimal 0.04 as a fraction is $\frac{1}{25}$.
More Information
The fraction $\frac{1}{25}$ indicates that 0.04 can be represented as one part out of twenty-five equal parts. This simplification shows that 0.04 is equivalent to 4% of a whole.
Tips
- Failing to multiply both the numerator and denominator by the same number when eliminating the decimal can lead to incorrect fractions.
- Forgetting to simplify the fraction after converting may result in an unnecessarily complex answer.