What is 8/23 as a Decimal?

Fraction to Decimal Converter

What is 8/23 as a decimal?

Answer

Fraction 8/23 as a decimal is

0.34782608695652…

≈ 0.35 to hundredths

Repeating decimal: denominator 23 has the factor 23, not 2 or 5 · a period of 22 digits — the first 14 decimal places are shown

remainder	×10	= digit × 23 + new remainder	digit
8	80	3 × 23 + 11	3
11	110	4 × 23 + 18	4
18	180	7 × 23 + 19	7
… 17 more division steps …
1	10	0 × 23 + 10	0
10	100	4 × 23 + 8	4

Remainder 8 returns after the 22nd division → the period is 22 digits (computed, not printed).

Fraction 8/23 as a decimal is 0.34782608695652…

To convert 8/23 to a decimal, divide the numerator by the denominator: 8 ÷ 23 ≈ 0.35.

In lowest terms its denominator 23 has the prime factor 23, so the division never ends: a remainder comes back and the same digits repeat forever.

Multiply by 100: 8/23 ≈ 34.78%.