Write 0.85 as a fraction, reduced to lowest terms

General
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Write 0.85 as a fraction, reduced to lowest terms.

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How to Write 0.85 as a Fraction, Reduced to Lowest Terms

Answer:
To convert the decimal 0.85 to a fraction and reduce it to its lowest terms, follow these detailed steps:

  1. Express the decimal as a fraction:

    Given decimal:

    0.85

    To convert 0.85 to a fraction, write it as:

    \frac{85}{100}

  2. Simplify the fraction:

    Find the greatest common divisor (GCD) of the numerator and the denominator. In this case, the GCD of 85 and 100 is 5.

  3. Divide both the numerator and the denominator by the GCD:

    \frac{85 \div 5}{100 \div 5} = \frac{17}{20}

Therefore, the decimal 0.85 as a fraction, reduced to its lowest terms, is:

\frac{17}{20}

This fraction is already in its simplest form since 17 and 20 have no common divisors other than 1.