What is 1/59 as a Decimal?

Fraction to Decimal Converter

What is 1/59 as a decimal?

Answer

Fraction 1/59 as a decimal is

0.01694915254237…

≈ 0.017 (two significant digits)

Repeating decimal: denominator 59 has the factor 59, not 2 or 5 · a period of 58 digits — the first 14 decimal places are shown

remainder	×10	= digit × 59 + new remainder	digit
1	10	0 × 59 + 10	0
10	100	1 × 59 + 41	1
41	410	6 × 59 + 56	6
… 53 more division steps …
36	360	6 × 59 + 6	6
6	60	1 × 59 + 1	1

Remainder 1 returns after the 58th division → the period is 58 digits (computed, not printed).

Fraction 1/59 as a decimal is 0.01694915254237…

To convert 1/59 to a decimal, divide the numerator by the denominator: 1 ÷ 59 ≈ 0.017.

In lowest terms its denominator 59 has the prime factor 59, so the division never ends: a remainder comes back and the same digits repeat forever.

Multiply by 100: 1/59 ≈ 1.69%.