What is 1/83 as a Decimal?

Fraction to Decimal Converter

What is 1/83 as a decimal?

Answer

Fraction 1/83 as a decimal is

0.01204819277108…

≈ 0.012 (two significant digits)

Repeating decimal: denominator 83 has the factor 83, not 2 or 5 · a period of 41 digits — the first 14 decimal places are shown

remainder	×10	= digit × 83 + new remainder	digit
1	10	0 × 83 + 10	0
10	100	1 × 83 + 17	1
17	170	2 × 83 + 4	2
… 36 more division steps …
44	440	5 × 83 + 25	5
25	250	3 × 83 + 1	3

Remainder 1 returns after the 41st division → the period is 41 digits (computed, not printed).

Fraction 1/83 as a decimal is 0.01204819277108…

To convert 1/83 to a decimal, divide the numerator by the denominator: 1 ÷ 83 ≈ 0.012.

In lowest terms its denominator 83 has the prime factor 83, so the division never ends: a remainder comes back and the same digits repeat forever.

Multiply by 100: 1/83 ≈ 1.20%.