Question
Convert 0.85 to a fraction in lowest terms. 0.85 in fractional notation is equal to \( \square \). (Simplify your answer.)
Ask by Best Newton. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(0.85\) in fractional notation is \(\frac{17}{20}\).
Solution
1. Write 0.85 as a fraction over 100:
\[
0.85 = \frac{85}{100}
\]
2. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 5:
\[
\frac{85 \div 5}{100 \div 5} = \frac{17}{20}
\]
Thus, \(0.85\) in fractional notation is equal to \(\frac{17}{20}\).
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Simplify this solution Extra Insights
To convert 0.85 to a fraction, you can express it as \( \frac{85}{100} \) since 0.85 is 85 hundredths. To simplify, divide both the numerator and denominator by their greatest common divisor (GCD), which is 5. This results in \( \frac{85 \div 5}{100 \div 5} = \frac{17}{20} \). So, 0.85 in fractional notation is equal to \( \frac{17}{20} \).
