What is 8 and 6/11 as a Decimal?

Fraction to Decimal Converter

What is 8 6/11 as a decimal?

Answer

Fraction 8 6/11 as a decimal is

8.54

≈ 8.55 to hundredths

Repeating decimal: denominator 11 has the factor 11, not 2 or 5 · the bar marks the period 54 — 2 digits repeat forever

Whole part 8 stays in front; divide the fraction part:

remainder	×10	= digit × 11 + new remainder	digit
6	60	5 × 11 + 5	5
5	50	4 × 11 + 6	4

Remainder 6 is back after the 2nd division → the 2 digits 54 repeat: 0.54.

8 + 0.54 = 8.54

Fraction 8 6/11 as a decimal is 8.(54)

To convert 8 6/11 to a decimal, divide the numerator by the denominator, 6 ÷ 11 = 0.(54), then add the whole part: 8 + 0.(54) = 8.(54).

In lowest terms its denominator 11 has the prime factor 11, so the division never ends: a remainder comes back and the same digits repeat forever.

Multiply by 100: 8 6/11 ≈ 854.55%.