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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

  1. 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.

  1. 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 $\frac{2}{25}$.

  1. 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.
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