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11/90 as a decimal

11/90 as a decimal is 0.122222… (the digits 2 repeat forever), which is 0.12 rounded to 2 decimal places.

÷=0.122222…

Change either number to try your own. The digits 2 repeat. Rounded to 2 places: 0.12. In lowest terms: 11/90.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 11 by the bottom number 90.

    1190=11÷90\frac{11}{90} = 11 \div 90
  2. 2

    90 does not go into 11 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 2 repeat forever.

  4. 4

    The result is

    1190=0.12‾\frac{11}{90} = 0.1\overline{2}
LaTeX source of the formulas on this page
\[ \frac{11}{90} = 0.1\overline{2} \]
\[ \frac{11}{90} = 11 \div 90 \]

Long division of 11 by 90

StepRemainder × 10Divide by 90Remainder left
1110110 ÷ 90 = 120
2200200 ÷ 90 = 220

Questions

What is 11/90 as a decimal?

11/90 as a decimal is 0.122222… (the digits 2 repeat forever), which is 0.12 rounded to 2 decimal places.

Is 11/90 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 2 (1 digit) repeats.

What is 11/90 as a percent?

11/90 is 12.222222…% as a percent.

How do I round 11/90 to 2 decimal places?

11/90 rounded to 2 decimal places is 0.12.

11/90 in the other form

Fractions with the bottom number 90

Fractions with the top number 11

    11/90 as a decimal: 0.122222… (with steps) | WordGPT