What is 18/17 as a Decimal?

Fraction to Decimal Converter

What is 18/17 as a decimal?

Answer

Fraction 18/17 as a decimal is

1.0588235294117647

≈ 1.06 to hundredths

Repeating decimal: denominator 17 has the factor 17, not 2 or 5 · the bar marks the period 0588235294117647 — 16 digits repeat forever

18 = 1 × 17 + 1: whole part 1, then divide the remainder 1

remainder	×10	= digit × 17 + new remainder	digit
1	10	0 × 17 + 10	0
10	100	5 × 17 + 15	5
15	150	8 × 17 + 14	8
… 11 more division steps …
8	80	4 × 17 + 12	4
12	120	7 × 17 + 1	7

Remainder 1 is back after the 16th division → the 16 digits 0588235294117647 repeat: 0.0588235294117647.

1 + 0.0588235294117647 = 1.0588235294117647

Fraction 18/17 as a decimal is 1.(0588235294117647)

To convert 18/17 to a decimal, divide the numerator by the denominator: 18 ÷ 17 = 1.(0588235294117647).

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: 18/17 ≈ 105.88%.