What is 9 and 2/3 as a Decimal?

Fraction to Decimal Converter

What is 9 2/3 as a decimal?

Answer

Fraction 9 2/3 as a decimal is

9.6

≈ 9.67 to hundredths

Repeating decimal: denominator 3 has the factor 3, not 2 or 5 · the bar marks the period 6 — it repeats forever

Whole part 9 stays in front; divide the fraction part:

remainder	×10	= digit × 3 + new remainder	digit
2	20	6 × 3 + 2	6

Remainder 2 is back after the 1st division → the digit 6 repeats forever: 0.6.

9 + 0.6 = 9.6

Fraction 9 2/3 as a decimal is 9.(6)

To convert 9 2/3 to a decimal, divide the numerator by the denominator, 2 ÷ 3 = 0.(6), then add the whole part: 9 + 0.(6) = 9.(6).

In lowest terms its denominator 3 has the prime factor 3, so the division never ends: a remainder comes back and the same digits repeat forever.

Multiply by 100: 9 2/3 ≈ 966.67%.