What is 8 and 1/9 as a Decimal?

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What is 8 1/9 as a decimal?

Answer

Fraction 8 1/9 as a decimal is
8.1

≈ 8.11 to hundredths

Repeating decimal: denominator 9 = 3 × 3 has the factor 3, not 2 or 5 · the bar marks the period 1 — it repeats forever

8 1/9: whole part, then 1 ÷ 9

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

remainder×10= digit × 9 + new remainderdigit
1101 × 9 + 11

Remainder 1 is back after the 1st division → the digit 1 repeats forever: 0.1.

8 + 0.1 = 8.1

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Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
8 1/28.5
8 1/38.3
8 1/48.25
8 1/58.2
8 1/68.16
8 1/78.142857
8 1/88.125
8 1/98.1
8 1/108.1
8 1/128.083
8 1/138.076923
8 1/158.06
8 1/168.0625
8 1/188.05
8 1/208.05

FAQ

What is 8 1/9 as a decimal?

Fraction 8 1/9 as a decimal is 8.(1)

How do you convert 8 1/9 to a decimal?

To convert 8 1/9 to a decimal, divide the numerator by the denominator, 1 ÷ 9 = 0.(1), then add the whole part: 8 + 0.(1) = 8.(1).

Why is 8 1/9 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 1/9 as a percent?

Multiply by 100: 8 1/9 ≈ 811.11%.

See Also