What is 8/26 as a Decimal?

Fraction to Decimal Converter

What is 8/26 as a decimal?

Answer

Fraction 8/26 as a decimal is

0.307692

≈ 0.31 to hundredths

Repeating decimal: 8/26 = 4/13 · denominator 13 has the factor 13, not 2 or 5 · the bar marks the period 307692 — 6 digits repeat forever

remainder	×10	= digit × 26 + new remainder	digit
8	80	3 × 26 + 2	3
2	20	0 × 26 + 20	0
20	200	7 × 26 + 18	7
18	180	6 × 26 + 24	6
24	240	9 × 26 + 6	9
6	60	2 × 26 + 8	2

Remainder 8 is back after the 6th division → the 6 digits 307692 repeat: 0.307692.

Fraction 8/26 as a decimal is 0.(307692)

To convert 8/26 to a decimal, divide the numerator by the denominator: 8 ÷ 26 = 0.(307692).

In lowest terms its denominator 13 has the prime factor 13, so the division never ends: a remainder comes back and the same digits repeat forever.

Multiply by 100: 8/26 ≈ 30.77%.