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Converting percentages to fractions

To convert a percentage to a fraction, follow these steps:

  • Convert the percentage to a decimal by dividing by .
  • Convert the decimal to a fraction over a power of .
  • Simplify the fraction if possible.
Section titled “Useful links”

Example conversions

Section titled “Example conversions”

Convert 75% to a fraction

Section titled “Convert 75% to a fraction”
  • Convert to a decimal:
  • Convert to a fraction:
  • Simplify the fraction:
    • HCF of and is .
  • Answer:

Convert 40% to a fraction

Section titled “Convert 40% to a fraction”
  • Convert to a decimal:
  • Convert to a fraction:
  • Simplify the fraction:
    • HCF of and is .
  • Answer:

Convert 12.5% to a fraction

Section titled “Convert 12.5% to a fraction”
  • Convert to a decimal:
  • Convert to a fraction:
  • Simplify the fraction:
    • HCF of and is .
  • Answer:

Convert 273% to a fraction

Section titled “Convert 273% to a fraction”
  • Convert to a decimal:
  • Convert to a fraction:
  • Simplify the fraction:
    • HCF of and is .
  • Answer: