What is 8 and 5/6 as a Decimal?

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What is 8 5/6 as a decimal?

Answer

Fraction 8 5/6 as a decimal is
8.83

≈ 8.83 to hundredths

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

8 5/6: whole part, then 5 ÷ 6

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

remainder×10= digit × 6 + new remainderdigit
5508 × 6 + 28
2203 × 6 + 23

Remainder 2 repeats from the 2nd digit on → 0.83.

8 + 0.83 = 8.83

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Fraction to Decimal Conversion Table

FractionDecimal
8 5/68.83
8 5/78.714285
8 5/88.625
8 5/98.5
8 5/108.5
8 5/118.45
8 5/128.416
8 5/138.384615
8 5/148.3571428
8 5/158.3
8 5/168.3125
8 5/178.2941176470588235
8 5/188.27
8 5/198.263157894736842105
8 5/208.25
8 5/218.238095
8 5/228.227
8 5/238.21739130434782…
8 5/248.2083
8 5/258.2
8 5/268.1923076
8 5/278.185
8 5/288.17857142
8 5/298.17241379310344…
8 5/308.16

FAQ

What is 8 5/6 as a decimal?

Fraction 8 5/6 as a decimal is 8.8(3)

How do you convert 8 5/6 to a decimal?

To convert 8 5/6 to a decimal, divide the numerator by the denominator, 5 ÷ 6 = 0.8(3), then add the whole part: 8 + 0.8(3) = 8.8(3).

Why is 8 5/6 a repeating decimal?

In lowest terms its denominator 6 = 2 × 3 has the prime factor 3, so the division never ends: a remainder comes back and the same digits repeat forever.

What is 8 5/6 as a percent?

Multiply by 100: 8 5/6 ≈ 883.33%.

See Also