What is 8/24 as a Decimal?

Fraction to Decimal Converter

What is 8/24 as a decimal?

Answer

Fraction 8/24 as a decimal is

0.3

≈ 0.33 to hundredths

Repeating decimal: 8/24 = 1/3 · denominator 3 has the factor 3, not 2 or 5 · the bar marks the period 3 — it repeats forever

remainder	×10	= digit × 24 + new remainder	digit
8	80	3 × 24 + 8	3

Remainder 8 is back after the 1st division → the digit 3 repeats forever: 0.3.

Fraction 8/24 as a decimal is 0.(3)

To convert 8/24 to a decimal, divide the numerator by the denominator: 8 ÷ 24 = 0.(3).

In lowest terms its denominator 3 has the prime factor 3, so the division never ends: a remainder comes back and the same digits repeat forever.

Multiply by 100: 8/24 ≈ 33.33%.