What is 2/31 as a Decimal?

Fraction to Decimal Converter

What is 2/31 as a decimal?

Answer

Fraction 2/31 as a decimal is

0.064516129032258

≈ 0.065 (two significant digits)

Repeating decimal: denominator 31 has the factor 31, not 2 or 5 · the bar marks the period 064516129032258 — 15 digits repeat forever

remainder	×10	= digit × 31 + new remainder	digit
2	20	0 × 31 + 20	0
20	200	6 × 31 + 14	6
14	140	4 × 31 + 16	4
… 10 more division steps …
18	180	5 × 31 + 25	5
25	250	8 × 31 + 2	8

Remainder 2 is back after the 15th division → the 15 digits 064516129032258 repeat: 0.064516129032258.

Fraction 2/31 as a decimal is 0.(064516129032258)

To convert 2/31 to a decimal, divide the numerator by the denominator: 2 ÷ 31 = 0.(064516129032258).

In lowest terms its denominator 31 has the prime factor 31, so the division never ends: a remainder comes back and the same digits repeat forever.

Multiply by 100: 2/31 ≈ 6.45%.