What is 5/17 as a Decimal?

Fraction to Decimal Converter

What is 5/17 as a decimal?

Answer

Fraction 5/17 as a decimal is

0.2941176470588235

≈ 0.29 to hundredths

Repeating decimal: denominator 17 has the factor 17, not 2 or 5 · the bar marks the period 2941176470588235 — 16 digits repeat forever

remainder	×10	= digit × 17 + new remainder	digit
5	50	2 × 17 + 16	2
16	160	9 × 17 + 7	9
7	70	4 × 17 + 2	4
… 11 more division steps …
6	60	3 × 17 + 9	3
9	90	5 × 17 + 5	5

Remainder 5 is back after the 16th division → the 16 digits 2941176470588235 repeat: 0.2941176470588235.

Fraction 5/17 as a decimal is 0.(2941176470588235)

To convert 5/17 to a decimal, divide the numerator by the denominator: 5 ÷ 17 = 0.(2941176470588235).

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: 5/17 ≈ 29.41%.