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2/33 as a decimal

2/33 as a decimal is 0.060606… (the digits 06 repeat forever), which is 0.06 rounded to 2 decimal places.

÷=0.060606…

Change either number to try your own. The digits 06 repeat. Rounded to 2 places: 0.06. In lowest terms: 2/33.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 2 by the bottom number 33.

    233=2÷33\frac{2}{33} = 2 \div 33
  2. 2

    33 does not go into 2 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 33, and write the digit. A remainder comes back after 2 steps, so the digits 06 repeat forever.

  4. 4

    The result is

    233=0.06‾\frac{2}{33} = 0.\overline{06}
LaTeX source of the formulas on this page
\[ \frac{2}{33} = 0.\overline{06} \]
\[ \frac{2}{33} = 2 \div 33 \]

Long division of 2 by 33

StepRemainder × 10Divide by 33Remainder left
12020 ÷ 33 = 020
2200200 ÷ 33 = 62

Questions

What is 2/33 as a decimal?

2/33 as a decimal is 0.060606… (the digits 06 repeat forever), which is 0.06 rounded to 2 decimal places.

Is 2/33 a terminating or a repeating decimal?

It repeats. The bottom number 33 = 3 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 06 (2 digits) repeats.

What is 2/33 as a percent?

2/33 is 6.060606…% as a percent.

How do I round 2/33 to 2 decimal places?

2/33 rounded to 2 decimal places is 0.06.

2/33 in the other form

Fractions with the bottom number 33

Fractions with the top number 2

    2/33 as a decimal: 0.060606… (with steps) | WordGPT