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5/11 as a decimal

5/11 as a decimal is 0.454545… (the digits 45 repeat forever), which is 0.45 rounded to 2 decimal places.

÷=0.454545…

Change either number to try your own. The digits 45 repeat. Rounded to 2 places: 0.45. In lowest terms: 5/11.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 5 by the bottom number 11.

    511=5÷11\frac{5}{11} = 5 \div 11
  2. 2

    11 does not go into 5 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 11, and write the digit. A remainder comes back after 2 steps, so the digits 45 repeat forever.

  4. 4

    The result is

    511=0.45‾\frac{5}{11} = 0.\overline{45}
LaTeX source of the formulas on this page
\[ \frac{5}{11} = 0.\overline{45} \]
\[ \frac{5}{11} = 5 \div 11 \]

Long division of 5 by 11

StepRemainder × 10Divide by 11Remainder left
15050 ÷ 11 = 46
26060 ÷ 11 = 55

Questions

What is 5/11 as a decimal?

5/11 as a decimal is 0.454545… (the digits 45 repeat forever), which is 0.45 rounded to 2 decimal places.

Is 5/11 a terminating or a repeating decimal?

It repeats. The bottom number 11 = 11 has a prime factor other than 2 and 5, so the division never ends and the block 45 (2 digits) repeats.

What is 5/11 as a percent?

5/11 is 45.454545…% as a percent.

How do I round 5/11 to 2 decimal places?

5/11 rounded to 2 decimal places is 0.45.

5/11 in the other form

Fractions with the bottom number 11

Fractions with the top number 5

    5/11 as a decimal: 0.454545… (with steps) | WordGPT