What is 12/17 as a Decimal?

Fraction to Decimal Converter

What is 12/17 as a decimal?

Answer

Fraction 12/17 as a decimal is

0.7058823529411764

≈ 0.71 to hundredths

Repeating decimal: denominator 17 has the factor 17, not 2 or 5 · the bar marks the period 7058823529411764 — 16 digits repeat forever

remainder	×10	= digit × 17 + new remainder	digit
12	120	7 × 17 + 1	7
1	10	0 × 17 + 10	0
10	100	5 × 17 + 15	5
… 11 more division steps …
11	110	6 × 17 + 8	6
8	80	4 × 17 + 12	4

Remainder 12 is back after the 16th division → the 16 digits 7058823529411764 repeat: 0.7058823529411764.

Fraction 12/17 as a decimal is 0.(7058823529411764)

To convert 12/17 to a decimal, divide the numerator by the denominator: 12 ÷ 17 = 0.(7058823529411764).

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: 12/17 ≈ 70.59%.