What is 1/109 as a Decimal?

Fraction to Decimal Converter

What is 1/109 as a decimal?

Answer

Fraction 1/109 as a decimal is

0.00917431192660…

≈ 0.0092 (two significant digits)

Repeating decimal: denominator 109 has the factor 109, not 2 or 5 · a period of 108 digits — the first 14 decimal places are shown

remainder	×10	= digit × 109 + new remainder	digit
1	10	0 × 109 + 10	0
10	100	0 × 109 + 100	0
100	1000	9 × 109 + 19	9
… 103 more division steps …
12	120	1 × 109 + 11	1
11	110	1 × 109 + 1	1

Remainder 1 returns after the 108th division → the period is 108 digits (computed, not printed).

Fraction 1/109 as a decimal is 0.00917431192660…

To convert 1/109 to a decimal, divide the numerator by the denominator: 1 ÷ 109 ≈ 0.0092.

In lowest terms its denominator 109 has the prime factor 109, so the division never ends: a remainder comes back and the same digits repeat forever.

Multiply by 100: 1/109 ≈ 0.92%.