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6/55 as a decimal

6/55 as a decimal is 0.109090… (the digits 09 repeat forever), which is 0.11 rounded to 2 decimal places.

÷=0.109090…

Change either number to try your own. The digits 09 repeat. Rounded to 2 places: 0.11. In lowest terms: 6/55.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 6 by the bottom number 55.

    655=6÷55\frac{6}{55} = 6 \div 55
  2. 2

    55 does not go into 6 even once, so the whole part is 0 and we carry on after the decimal point.

  3. 3

    Long division: bring down a zero each time (multiply the remainder by 10), divide by 55, and write the digit. A remainder comes back after 3 steps, so the digits 09 repeat forever.

  4. 4

    The result is

    655=0.109‾\frac{6}{55} = 0.1\overline{09}
LaTeX source of the formulas on this page
\[ \frac{6}{55} = 0.1\overline{09} \]
\[ \frac{6}{55} = 6 \div 55 \]

Long division of 6 by 55

StepRemainder × 10Divide by 55Remainder left
16060 ÷ 55 = 15
25050 ÷ 55 = 050
3500500 ÷ 55 = 95

Questions

What is 6/55 as a decimal?

6/55 as a decimal is 0.109090… (the digits 09 repeat forever), which is 0.11 rounded to 2 decimal places.

Is 6/55 a terminating or a repeating decimal?

It repeats. The bottom number 55 = 5 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 09 (2 digits) repeats.

What is 6/55 as a percent?

6/55 is 10.909090…% as a percent.

How do I round 6/55 to 2 decimal places?

6/55 rounded to 2 decimal places is 0.11.

6/55 in the other form

Fractions with the bottom number 55

Fractions with the top number 6

    6/55 as a decimal: 0.109090… (with steps) | WordGPT