What is 5/23 as a Decimal?

Fraction to Decimal Converter

What is 5/23 as a decimal?

Answer

Fraction 5/23 as a decimal is

0.21739130434782…

≈ 0.22 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
5	50	2 × 23 + 4	2
4	40	1 × 23 + 17	1
17	170	7 × 23 + 9	7
… 17 more division steps …
15	150	6 × 23 + 12	6
12	120	5 × 23 + 5	5

Remainder 5 returns after the 22nd division → the period is 22 digits (computed, not printed).

Fraction 5/23 as a decimal is 0.21739130434782…

To convert 5/23 to a decimal, divide the numerator by the denominator: 5 ÷ 23 ≈ 0.22.

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: 5/23 ≈ 21.74%.