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1/90 as a decimal

1/90 as a decimal is 0.011111… (the digits 1 repeat forever), which is 0.01 rounded to 2 decimal places.

÷=0.011111…

Change either number to try your own. The digits 1 repeat. Rounded to 2 places: 0.01. In lowest terms: 1/90.

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 90.

    190=1÷90\frac{1}{90} = 1 \div 90
  2. 2

    90 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 90, and write the digit. A remainder comes back after 2 steps, so the digits 1 repeat forever.

  4. 4

    The result is

    190=0.01‾\frac{1}{90} = 0.0\overline{1}
LaTeX source of the formulas on this page
\[ \frac{1}{90} = 0.0\overline{1} \]
\[ \frac{1}{90} = 1 \div 90 \]

Long division of 1 by 90

StepRemainder × 10Divide by 90Remainder left
11010 ÷ 90 = 010
2100100 ÷ 90 = 110

Questions

What is 1/90 as a decimal?

1/90 as a decimal is 0.011111… (the digits 1 repeat forever), which is 0.01 rounded to 2 decimal places.

Is 1/90 a terminating or a repeating decimal?

It repeats. The bottom number 90 = 2 × 3 × 3 × 5 has a prime factor other than 2 and 5, so the division never ends and the block 1 (1 digit) repeats.

What is 1/90 as a percent?

1/90 is 1.111111…% as a percent.

How do I round 1/90 to 2 decimal places?

1/90 rounded to 2 decimal places is 0.01.

1/90 in the other form

Fractions with the top number 1

    1/90 as a decimal: 0.011111… (with steps) | WordGPT