6.75 as a Fraction

6.75 as a fraction is 27/4. As a mixed number that is 6 3/4.

How to convert 6.75 to a fraction

  1. 6.75 has 2 decimal places, so write it over 100 (a 1 followed by 2 zeros) with the decimal point removed: 6.75 = 675/100.
  2. Find the greatest common divisor of 675 and 100: it is 25.
  3. Divide both by 25: 675 ÷ 25 = 27 and 100 ÷ 25 = 4.
  4. The answer is 27/4.

Since 27 is larger than 4, you can also write it as the mixed number 6 3/4: 27 ÷ 4 = 6 remainder 3.

Check

Divide the numerator by the denominator: 27 ÷ 4 = 6.75. As a percent, 6.75 = 675%.

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