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83/84 as a decimal

83/84 as a decimal is 0.98809523… (the digits 809523 repeat forever), which is 0.99 rounded to 2 decimal places.

÷=0.98809523…

Change either number to try your own. The digits 809523 repeat. Rounded to 2 places: 0.99. In lowest terms: 83/84.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 83 by the bottom number 84.

    8384=83÷84\frac{83}{84} = 83 \div 84
  2. 2

    84 does not go into 83 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 84, and write the digit. A remainder comes back after 8 steps, so the digits 809523 repeat forever.

  4. 4

    The result is

    8384=0.98809523‾\frac{83}{84} = 0.98\overline{809523}
LaTeX source of the formulas on this page
\[ \frac{83}{84} = 0.98\overline{809523} \]
\[ \frac{83}{84} = 83 \div 84 \]

Long division of 83 by 84

StepRemainder × 10Divide by 84Remainder left
1830830 ÷ 84 = 974
2740740 ÷ 84 = 868
3680680 ÷ 84 = 88
48080 ÷ 84 = 080
5800800 ÷ 84 = 944
6440440 ÷ 84 = 520
7200200 ÷ 84 = 232
8320320 ÷ 84 = 368

Questions

What is 83/84 as a decimal?

83/84 as a decimal is 0.98809523… (the digits 809523 repeat forever), which is 0.99 rounded to 2 decimal places.

Is 83/84 a terminating or a repeating decimal?

It repeats. The bottom number 84 = 2 × 2 × 3 × 7 has a prime factor other than 2 and 5, so the division never ends and the block 809523 (6 digits) repeats.

What is 83/84 as a percent?

83/84 is 98.809523…% as a percent.

How do I round 83/84 to 2 decimal places?

83/84 rounded to 2 decimal places is 0.99.

83/84 in the other form

Fractions with the top number 83

    83/84 as a decimal: 0.98809523… (with steps) | WordGPT