What is 1/89 as a Decimal?

Fraction to Decimal Converter

What is 1/89 as a decimal?

Answer

Fraction 1/89 as a decimal is

0.01123595505617…

≈ 0.011 (two significant digits)

Repeating decimal: denominator 89 has the factor 89, not 2 or 5 · a period of 44 digits — the first 14 decimal places are shown

remainder	×10	= digit × 89 + new remainder	digit
1	10	0 × 89 + 10	0
10	100	1 × 89 + 11	1
11	110	1 × 89 + 21	1
… 39 more division steps …
81	810	9 × 89 + 9	9
9	90	1 × 89 + 1	1

Remainder 1 returns after the 44th division → the period is 44 digits (computed, not printed).

Fraction 1/89 as a decimal is 0.01123595505617…

To convert 1/89 to a decimal, divide the numerator by the denominator: 1 ÷ 89 ≈ 0.011.

In lowest terms its denominator 89 has the prime factor 89, so the division never ends: a remainder comes back and the same digits repeat forever.

Multiply by 100: 1/89 ≈ 1.12%.