What is 18/33 as a Decimal?

Fraction to Decimal Converter

What is 18/33 as a decimal?

Answer

Fraction 18/33 as a decimal is

0.54

≈ 0.55 to hundredths

Repeating decimal: 18/33 = 6/11 · denominator 11 has the factor 11, not 2 or 5 · the bar marks the period 54 — 2 digits repeat forever

remainder	×10	= digit × 33 + new remainder	digit
18	180	5 × 33 + 15	5
15	150	4 × 33 + 18	4

Remainder 18 is back after the 2nd division → the 2 digits 54 repeat: 0.54.

Fraction 18/33 as a decimal is 0.(54)

To convert 18/33 to a decimal, divide the numerator by the denominator: 18 ÷ 33 = 0.(54).

In lowest terms its denominator 11 has the prime factor 11, so the division never ends: a remainder comes back and the same digits repeat forever.

Multiply by 100: 18/33 ≈ 54.55%.