Convert 0.08 inches to a fraction.
Understand the Problem
The question is asking to convert a decimal measurement of 0.08 inches into a fraction. This involves identifying a common denominator that can represent the decimal accurately as a fraction.
Answer
The fraction equivalent of $0.08$ is $\frac{2}{25}$.
Answer for screen readers
The fraction equivalent of $0.08$ is $\frac{2}{25}$.
Steps to Solve
- Convert Decimal to Fraction
To convert the decimal $0.08$ into a fraction, we can rewrite it as $\frac{8}{100}$ because $0.08$ means 8 hundredths.
- Simplify the Fraction
Next, we need to simplify $\frac{8}{100}$. We can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of $8$ and $100$ is $4$.
Perform the division:
- Numerator: $8 \div 4 = 2$
- Denominator: $100 \div 4 = 25$
Thus, $\frac{8}{100}$ simplifies to $\frac{2}{25}$.
- Final Fraction Form
Now we have the decimal $0.08$ as a simplified fraction, which is $\frac{2}{25}$.
The fraction equivalent of $0.08$ is $\frac{2}{25}$.
More Information
Converting decimals to fractions is a common task in mathematics. Understanding how to simplify fractions helps in various mathematical contexts, such as calculations involving measurements and proportions.
Tips
- Forgetting to simplify the fraction after converting the decimal.
- Misidentifying the common divisor, leading to an unsimplified fraction.
- Confusing the decimal value with its fractional representation.