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1/6 as a decimal

1/6 as a decimal is 0.166666… (the digits 6 repeat forever), which is 0.17 rounded to 2 decimal places.

÷=0.166666…

Change either number to try your own. The digits 6 repeat. Rounded to 2 places: 0.17. In lowest terms: 1/6.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 1 by the bottom number 6.

    16=1÷6\frac{1}{6} = 1 \div 6
  2. 2

    6 does not go into 1 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 6, and write the digit. A remainder comes back after 2 steps, so the digits 6 repeat forever.

  4. 4

    The result is

    16=0.16‾\frac{1}{6} = 0.1\overline{6}
LaTeX source of the formulas on this page
\[ \frac{1}{6} = 0.1\overline{6} \]
\[ \frac{1}{6} = 1 \div 6 \]

Long division of 1 by 6

StepRemainder × 10Divide by 6Remainder left
11010 ÷ 6 = 14
24040 ÷ 6 = 64

Questions

What is 1/6 as a decimal?

1/6 as a decimal is 0.166666… (the digits 6 repeat forever), which is 0.17 rounded to 2 decimal places.

Is 1/6 a terminating or a repeating decimal?

It repeats. The bottom number 6 = 2 × 3 has a prime factor other than 2 and 5, so the division never ends and the block 6 (1 digit) repeats.

What is 1/6 as a percent?

1/6 is 16.666666…% as a percent.

How do I round 1/6 to 2 decimal places?

1/6 rounded to 2 decimal places is 0.17.

1/6 in the other form

Fractions with the bottom number 6

Fractions with the top number 1

    1/6 as a decimal: 0.166666… (with steps) | WordGPT