What is 18/26 as a Decimal?

Fraction to Decimal Converter

What is 18/26 as a decimal?

Answer

Fraction 18/26 as a decimal is

0.692307

≈ 0.69 to hundredths

Repeating decimal: 18/26 = 9/13 · denominator 13 has the factor 13, not 2 or 5 · the bar marks the period 692307 — 6 digits repeat forever

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

Remainder 18 is back after the 6th division → the 6 digits 692307 repeat: 0.692307.

Fraction 18/26 as a decimal is 0.(692307)

To convert 18/26 to a decimal, divide the numerator by the denominator: 18 ÷ 26 = 0.(692307).

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: 18/26 ≈ 69.23%.