What is 3/17 as a Decimal?

Fraction to Decimal Converter

What is 3/17 as a decimal?

Answer

Fraction 3/17 as a decimal is

0.1764705882352941

≈ 0.18 to hundredths

Repeating decimal: denominator 17 has the factor 17, not 2 or 5 · the bar marks the period 1764705882352941 — 16 digits repeat forever

remainder	×10	= digit × 17 + new remainder	digit
3	30	1 × 17 + 13	1
13	130	7 × 17 + 11	7
11	110	6 × 17 + 8	6
… 11 more division steps …
7	70	4 × 17 + 2	4
2	20	1 × 17 + 3	1

Remainder 3 is back after the 16th division → the 16 digits 1764705882352941 repeat: 0.1764705882352941.

Fraction 3/17 as a decimal is 0.(1764705882352941)

To convert 3/17 to a decimal, divide the numerator by the denominator: 3 ÷ 17 = 0.(1764705882352941).

In lowest terms its denominator 17 has the prime factor 17, so the division never ends: a remainder comes back and the same digits repeat forever.

Multiply by 100: 3/17 ≈ 17.65%.