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How do you write 38%38\% as a fraction?

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Convert between percents, fractions, and decimalsright chevron icon

Full solution

Q. How do you write 38%38\% as a fraction?
  1. Understand Percent Definition: Understand that percent means 'per 100100'. So, to convert 38%38\% to a fraction, we need to write it over 100100.
  2. Write as Fraction: Write 38%38\% as a fraction: 38100\frac{38}{100}.
  3. Find Greatest Common Divisor: Simplify the fraction by finding the greatest common divisor (GCD) of 3838 and 100100. The GCD is 22.
  4. Divide by GCD: Divide both the numerator and the denominator by the GCD: 38÷2=1938 \div 2 = 19 and 100÷2=50100 \div 2 = 50.
  5. Simplify Fraction: The simplified fraction is 1950\frac{19}{50}.

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