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8/89 as a decimal

8/89 as a decimal is 0.08988764044943820224719101123595505617977528… (the digits 08988764044943820224719101123595505617977528 repeat forever), which is 0.09 rounded to 2 decimal places.

÷=0.08988764044943820224719101123595505617977528…

Change either number to try your own. The digits 08988764044943820224719101123595505617977528 repeat. Rounded to 2 places: 0.09. In lowest terms: 8/89.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 8 by the bottom number 89.

    889=8÷89\frac{8}{89} = 8 \div 89
  2. 2

    89 does not go into 8 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 89, and write the digit. A remainder comes back after 44 steps, so the digits 08988764044943820224719101123595505617977528 repeat forever.

  4. 4

    The result is

    889=0.08988764044943820224719101123595505617977528‾\frac{8}{89} = 0.\overline{08988764044943820224719101123595505617977528}
LaTeX source of the formulas on this page
\[ \frac{8}{89} = 0.\overline{08988764044943820224719101123595505617977528} \]
\[ \frac{8}{89} = 8 \div 89 \]

Long division of 8 by 89

StepRemainder × 10Divide by 89Remainder left
18080 ÷ 89 = 080
2800800 ÷ 89 = 888
3880880 ÷ 89 = 979
4790790 ÷ 89 = 878
5780780 ÷ 89 = 868
6680680 ÷ 89 = 757
7570570 ÷ 89 = 636
8360360 ÷ 89 = 44
94040 ÷ 89 = 040
10400400 ÷ 89 = 444
11440440 ÷ 89 = 484
12840840 ÷ 89 = 939

Questions

What is 8/89 as a decimal?

8/89 as a decimal is 0.08988764044943820224719101123595505617977528… (the digits 08988764044943820224719101123595505617977528 repeat forever), which is 0.09 rounded to 2 decimal places.

Is 8/89 a terminating or a repeating decimal?

It repeats. The bottom number 89 = 89 has a prime factor other than 2 and 5, so the division never ends and the block 08988764044943820224719101123595505617977528 (44 digits) repeats.

What is 8/89 as a percent?

8/89 is 8.98876404494382022471910112359550561797752808…% as a percent.

How do I round 8/89 to 2 decimal places?

8/89 rounded to 2 decimal places is 0.09.

8/89 in the other form

Fractions with the bottom number 89

Fractions with the top number 8

    8/89 as a decimal: 0.08988764044943820224719101123595505617977528… (with steps) | WordGPT