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7/11 as a decimal

7/11 as a decimal is 0.636363… (the digits 63 repeat forever), which is 0.64 rounded to 2 decimal places.

÷=0.636363…

Change either number to try your own. The digits 63 repeat. Rounded to 2 places: 0.64. In lowest terms: 7/11.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 7 by the bottom number 11.

    711=7÷11\frac{7}{11} = 7 \div 11
  2. 2

    11 does not go into 7 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 63 repeat forever.

  4. 4

    The result is

    711=0.63‾\frac{7}{11} = 0.\overline{63}
LaTeX source of the formulas on this page
\[ \frac{7}{11} = 0.\overline{63} \]
\[ \frac{7}{11} = 7 \div 11 \]

Long division of 7 by 11

StepRemainder × 10Divide by 11Remainder left
17070 ÷ 11 = 64
24040 ÷ 11 = 37

Questions

What is 7/11 as a decimal?

7/11 as a decimal is 0.636363… (the digits 63 repeat forever), which is 0.64 rounded to 2 decimal places.

Is 7/11 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 63 (2 digits) repeats.

What is 7/11 as a percent?

7/11 is 63.636363…% as a percent.

How do I round 7/11 to 2 decimal places?

7/11 rounded to 2 decimal places is 0.64.

7/11 in the other form

Fractions with the bottom number 11

Fractions with the top number 7

    7/11 as a decimal: 0.636363… (with steps) | WordGPT