What is 1/131 as a Decimal?

Fraction to Decimal Converter

What is 1/131 as a decimal?

Answer

Fraction 1/131 as a decimal is

0.00763358778625…

≈ 0.0076 (two significant digits)

Repeating decimal: denominator 131 has the factor 131, not 2 or 5 · a period of 130 digits — the first 14 decimal places are shown

remainder	×10	= digit × 131 + new remainder	digit
1	10	0 × 131 + 10	0
10	100	0 × 131 + 100	0
100	1000	7 × 131 + 83	7
… 125 more division steps …
38	380	2 × 131 + 118	2
118	1180	9 × 131 + 1	9

Remainder 1 returns after the 130th division → the period is 130 digits (computed, not printed).

Fraction 1/131 as a decimal is 0.00763358778625…

To convert 1/131 to a decimal, divide the numerator by the denominator: 1 ÷ 131 ≈ 0.0076.

In lowest terms its denominator 131 has the prime factor 131, so the division never ends: a remainder comes back and the same digits repeat forever.

Multiply by 100: 1/131 ≈ 0.76%.