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57/83 as a decimal

57/83 as a decimal is 0.68674698795180722891566265060240963855421… (the digits 68674698795180722891566265060240963855421 repeat forever), which is 0.69 rounded to 2 decimal places.

÷=0.68674698795180722891566265060240963855421…

Change either number to try your own. The digits 68674698795180722891566265060240963855421 repeat. Rounded to 2 places: 0.69. In lowest terms: 57/83.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 57 by the bottom number 83.

    5783=57÷83\frac{57}{83} = 57 \div 83
  2. 2

    83 does not go into 57 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 83, and write the digit. A remainder comes back after 41 steps, so the digits 68674698795180722891566265060240963855421 repeat forever.

  4. 4

    The result is

    5783=0.68674698795180722891566265060240963855421‾\frac{57}{83} = 0.\overline{68674698795180722891566265060240963855421}
LaTeX source of the formulas on this page
\[ \frac{57}{83} = 0.\overline{68674698795180722891566265060240963855421} \]
\[ \frac{57}{83} = 57 \div 83 \]

Long division of 57 by 83

StepRemainder × 10Divide by 83Remainder left
1570570 ÷ 83 = 672
2720720 ÷ 83 = 856
3560560 ÷ 83 = 662
4620620 ÷ 83 = 739
5390390 ÷ 83 = 458
6580580 ÷ 83 = 682
7820820 ÷ 83 = 973
8730730 ÷ 83 = 866
9660660 ÷ 83 = 779
10790790 ÷ 83 = 943
11430430 ÷ 83 = 515
12150150 ÷ 83 = 167

Questions

What is 57/83 as a decimal?

57/83 as a decimal is 0.68674698795180722891566265060240963855421… (the digits 68674698795180722891566265060240963855421 repeat forever), which is 0.69 rounded to 2 decimal places.

Is 57/83 a terminating or a repeating decimal?

It repeats. The bottom number 83 = 83 has a prime factor other than 2 and 5, so the division never ends and the block 68674698795180722891566265060240963855421 (41 digits) repeats.

What is 57/83 as a percent?

57/83 is 68.67469879518072289156626506024096385542168…% as a percent.

How do I round 57/83 to 2 decimal places?

57/83 rounded to 2 decimal places is 0.69.

57/83 in the other form

Fractions with the bottom number 83

Fractions with the top number 57

    57/83 as a decimal: 0.68674698795180722891566265060240963855421… (with steps) | WordGPT