What is 8 and 2/9 as a Decimal?

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What is 8 2/9 as a decimal?

Answer

Fraction 8 2/9 as a decimal is
8.2

≈ 8.22 to hundredths

Repeating decimal: denominator 9 = 3 × 3 has the factor 3, not 2 or 5 · the bar marks the period 2 — it repeats forever

8 2/9: whole part, then 2 ÷ 9

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

remainder×10= digit × 9 + new remainderdigit
2202 × 9 + 22

Remainder 2 is back after the 1st division → the digit 2 repeats forever: 0.2.

8 + 0.2 = 8.2

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Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
8 2/38.6
8 2/48.5
8 2/58.4
8 2/68.3
8 2/78.285714
8 2/88.25
8 2/98.2
8 2/108.2
8 2/118.18
8 2/128.16
8 2/138.153846
8 2/148.142857
8 2/158.13
8 2/168.125
8 2/178.1176470588235294
8 2/188.1
8 2/198.105263157894736842
8 2/208.1
8 2/218.095238
8 2/228.09
8 2/238.08695652173913…
8 2/248.083
8 2/258.08
8 2/268.076923
8 2/278.074
8 2/288.0714285
8 2/298.06896551724137…
8 2/308.06

FAQ

What is 8 2/9 as a decimal?

Fraction 8 2/9 as a decimal is 8.(2)

How do you convert 8 2/9 to a decimal?

To convert 8 2/9 to a decimal, divide the numerator by the denominator, 2 ÷ 9 = 0.(2), then add the whole part: 8 + 0.(2) = 8.(2).

Why is 8 2/9 a repeating decimal?

In lowest terms its denominator 9 = 3 × 3 has the prime factor 3, so the division never ends: a remainder comes back and the same digits repeat forever.

What is 8 2/9 as a percent?

Multiply by 100: 8 2/9 ≈ 822.22%.

See Also