What is 1/19 as a Decimal?

Fraction to Decimal Converter

What is 1/19 as a decimal?

Answer

Fraction 1/19 as a decimal is

0.052631578947368421

≈ 0.053 (two significant digits)

Repeating decimal: denominator 19 has the factor 19, not 2 or 5 · the bar marks the period 052631578947368421 — 18 digits repeat forever

remainder	×10	= digit × 19 + new remainder	digit
1	10	0 × 19 + 10	0
10	100	5 × 19 + 5	5
5	50	2 × 19 + 12	2
… 13 more division steps …
4	40	2 × 19 + 2	2
2	20	1 × 19 + 1	1

Remainder 1 is back after the 18th division → the 18 digits 052631578947368421 repeat: 0.052631578947368421.

Fraction 1/19 as a decimal is 0.(052631578947368421)

To convert 1/19 to a decimal, divide the numerator by the denominator: 1 ÷ 19 = 0.(052631578947368421).

In lowest terms its denominator 19 has the prime factor 19, so the division never ends: a remainder comes back and the same digits repeat forever.

Multiply by 100: 1/19 ≈ 5.26%.