8.2 as a Fraction

8.2 as a fraction is 41/5. As a mixed number that is 8 1/5.

How to convert 8.2 to a fraction

  1. 8.2 has one decimal place, so write it over 10 (a 1 followed by 1 zero) with the decimal point removed: 8.2 = 82/10.
  2. Find the greatest common divisor of 82 and 10: it is 2.
  3. Divide both by 2: 82 ÷ 2 = 41 and 10 ÷ 2 = 5.
  4. The answer is 41/5.

Since 41 is larger than 5, you can also write it as the mixed number 8 1/5: 41 ÷ 5 = 8 remainder 1.

Check

Divide the numerator by the denominator: 41 ÷ 5 = 8.2. As a percent, 8.2 = 820%.

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