0.0004 as a fraction
Understand the Problem
The question is asking how to convert the decimal 0.0004 into a fraction. To do this, we will express the decimal as a fraction of integers by identifying its place value and simplifying it as necessary.
Answer
The fraction equivalent of the decimal 0.0004 is $\frac{1}{2500}$.
Answer for screen readers
The fraction equivalent of the decimal 0.0004 is $\frac{1}{2500}$.
Steps to Solve
- Identify the Place Value
We start by recognizing the decimal 0.0004. The last digit (4) is in the fourth decimal place, which corresponds to ten-thousandths. This means we can express 0.0004 as a fraction with 4 in the numerator and 10,000 in the denominator.
- Write as a Fraction
Now we can write the decimal as a fraction: $$ \frac{4}{10000} $$
- Simplify the Fraction
Next, we simplify the fraction. We need to find the greatest common divisor (GCD) of the numerator and denominator. The GCD of 4 and 10,000 is 4. We divide both the numerator and the denominator by their GCD:
$$ \frac{4 \div 4}{10000 \div 4} = \frac{1}{2500} $$
The fraction equivalent of the decimal 0.0004 is $\frac{1}{2500}$.
More Information
Converting decimals to fractions is a common practice in mathematics, especially when working with measurements or precise calculations. Understanding how to simplify fractions can lead to better clarity in solving problems in both basic and advanced mathematics.
Tips
- Forgetting to simplify the fraction after converting it from the decimal form. Always check if the fraction can be reduced.
- Misidentifying the place value, leading to incorrect denominators.