What is 8 and 10/9 as a Decimal?

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What is 8 10/9 as a decimal?

Answer

Fraction 8 10/9 as a decimal is
9.1

≈ 9.11 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 10/9: whole part, then 10 ÷ 9

10 = 1 × 9 + 1: whole part 8 + 1 = 9, then divide the remainder 1

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

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

9 + 0.1 = 9.1

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Fraction to Decimal Conversion Table

FractionDecimal
8 10/99.1
8 10/118.90
8 10/128.83
8 10/138.769230
8 10/148.714285
8 10/158.6
8 10/168.625
8 10/178.5882352941176470
8 10/188.5
8 10/198.526315789473684210
8 10/208.5
8 10/218.476190
8 10/228.45
8 10/238.43478260869565…
8 10/248.416
8 10/258.4
8 10/268.384615
8 10/278.370
8 10/288.3571428
8 10/298.34482758620689…
8 10/308.3

FAQ

What is 8 10/9 as a decimal?

Fraction 8 10/9 as a decimal is 9.(1)

How do you convert 8 10/9 to a decimal?

To convert 8 10/9 to a decimal, divide the numerator by the denominator, 10 ÷ 9 = 1.(1), then add the whole part: 8 + 1.(1) = 9.(1).

Why is 8 10/9 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 10/9 as a percent?

Multiply by 100: 8 10/9 ≈ 911.11%.

See Also