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52/83 as a decimal

52/83 as a decimal is 0.62650602409638554216867469879518072289156… (the digits 62650602409638554216867469879518072289156 repeat forever), which is 0.63 rounded to 2 decimal places.

÷=0.62650602409638554216867469879518072289156…

Change either number to try your own. The digits 62650602409638554216867469879518072289156 repeat. Rounded to 2 places: 0.63. In lowest terms: 52/83.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 52 by the bottom number 83.

    5283=52÷83\frac{52}{83} = 52 \div 83
  2. 2

    83 does not go into 52 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 62650602409638554216867469879518072289156 repeat forever.

  4. 4

    The result is

    5283=0.62650602409638554216867469879518072289156‾\frac{52}{83} = 0.\overline{62650602409638554216867469879518072289156}
LaTeX source of the formulas on this page
\[ \frac{52}{83} = 0.\overline{62650602409638554216867469879518072289156} \]
\[ \frac{52}{83} = 52 \div 83 \]

Long division of 52 by 83

StepRemainder × 10Divide by 83Remainder left
1520520 ÷ 83 = 622
2220220 ÷ 83 = 254
3540540 ÷ 83 = 642
4420420 ÷ 83 = 55
55050 ÷ 83 = 050
6500500 ÷ 83 = 62
72020 ÷ 83 = 020
8200200 ÷ 83 = 234
9340340 ÷ 83 = 48
108080 ÷ 83 = 080
11800800 ÷ 83 = 953
12530530 ÷ 83 = 632

Questions

What is 52/83 as a decimal?

52/83 as a decimal is 0.62650602409638554216867469879518072289156… (the digits 62650602409638554216867469879518072289156 repeat forever), which is 0.63 rounded to 2 decimal places.

Is 52/83 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 62650602409638554216867469879518072289156 (41 digits) repeats.

What is 52/83 as a percent?

52/83 is 62.65060240963855421686746987951807228915662…% as a percent.

How do I round 52/83 to 2 decimal places?

52/83 rounded to 2 decimal places is 0.63.

52/83 in the other form

Fractions with the bottom number 83

Fractions with the top number 52

    52/83 as a decimal: 0.62650602409638554216867469879518072289156… (with steps) | WordGPT