Convert 0.18 inches to a fraction.
Understand the Problem
The question is asking how to convert the decimal measurement of 0.18 inches into a fraction format. This involves finding a fraction that accurately represents the decimal.
Answer
The fraction representation of 0.18 inches is $\frac{9}{50}$.
Answer for screen readers
The fraction representation of 0.18 inches is $\frac{9}{50}$.
Steps to Solve
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Identify the Decimal Value Start with the decimal measurement, which is 0.18 inches.
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Convert the Decimal to a Fraction To convert the decimal to a fraction, we express 0.18 as $\frac{18}{100}$ because there are two digits after the decimal point.
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Simplify the Fraction Next, we simplify the fraction $\frac{18}{100}$. We find the greatest common divisor (GCD) of 18 and 100, which is 2. Now divide both the numerator and the denominator by their GCD:
$$ \frac{18 \div 2}{100 \div 2} = \frac{9}{50} $$
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Final Fraction Form The simplified fraction of 0.18 inches is $\frac{9}{50}$.
The fraction representation of 0.18 inches is $\frac{9}{50}$.
More Information
This conversion shows how decimals can be translated into fractions, which is a useful skill in various applications, including measurements in carpentry or cooking.
Tips
- Forgetting to simplify the fraction after converting. It's important to always reduce fractions to their simplest form for clarity.
