What is 12/22 as a Decimal?

Fraction to Decimal Converter

What is 12/22 as a decimal?

Answer

Fraction 12/22 as a decimal is

0.54

≈ 0.55 to hundredths

Repeating decimal: 12/22 = 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 × 22 + new remainder	digit
12	120	5 × 22 + 10	5
10	100	4 × 22 + 12	4

Remainder 12 is back after the 2nd division → the 2 digits 54 repeat: 0.54.

Fraction 12/22 as a decimal is 0.(54)

To convert 12/22 to a decimal, divide the numerator by the denominator: 12 ÷ 22 = 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: 12/22 ≈ 54.55%.