8.25 as a Fraction

8.25 as a fraction is 33/4. As a mixed number that is 8 1/4.

How to convert 8.25 to a fraction

  1. 8.25 has 2 decimal places, so write it over 100 (a 1 followed by 2 zeros) with the decimal point removed: 8.25 = 825/100.
  2. Find the greatest common divisor of 825 and 100: it is 25.
  3. Divide both by 25: 825 ÷ 25 = 33 and 100 ÷ 25 = 4.
  4. The answer is 33/4.

Since 33 is larger than 4, you can also write it as the mixed number 8 1/4: 33 ÷ 4 = 8 remainder 1.

Check

Divide the numerator by the denominator: 33 ÷ 4 = 8.25. As a percent, 8.25 = 825%.

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Another decimal? Use the decimal to fraction converter or browse the decimal to fraction chart.