6.875 as a Fraction

6.875 as a fraction is 55/8. As a mixed number that is 6 7/8.

How to convert 6.875 to a fraction

  1. 6.875 has 3 decimal places, so write it over 1000 (a 1 followed by 3 zeros) with the decimal point removed: 6.875 = 6875/1000.
  2. Find the greatest common divisor of 6875 and 1000: it is 125.
  3. Divide both by 125: 6875 ÷ 125 = 55 and 1000 ÷ 125 = 8.
  4. The answer is 55/8.

Since 55 is larger than 8, you can also write it as the mixed number 6 7/8: 55 ÷ 8 = 6 remainder 7.

Check

Divide the numerator by the denominator: 55 ÷ 8 = 6.875. As a percent, 6.875 = 687.5%.

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