What is 8 and 4/11 as a Decimal?

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What is 8 4/11 as a decimal?

Answer

Fraction 8 4/11 as a decimal is
8.36

≈ 8.36 to hundredths

Repeating decimal: denominator 11 has the factor 11, not 2 or 5 · the bar marks the period 36 — 2 digits repeat forever

8 4/11: whole part, then 4 ÷ 11

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

remainder×10= digit × 11 + new remainderdigit
4403 × 11 + 73
7706 × 11 + 46

Remainder 4 is back after the 2nd division → the 2 digits 36 repeat: 0.36.

8 + 0.36 = 8.36

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Fraction to Decimal Conversion Table

FractionDecimal
8 4/58.8
8 4/68.6
8 4/78.571428
8 4/88.5
8 4/98.4
8 4/108.4
8 4/118.36
8 4/128.3
8 4/138.307692
8 4/148.285714
8 4/158.26
8 4/168.25
8 4/178.2352941176470588
8 4/188.2
8 4/198.210526315789473684
8 4/208.2
8 4/218.190476
8 4/228.18
8 4/238.17391304347826…
8 4/248.16
8 4/258.16
8 4/268.153846
8 4/278.148
8 4/288.142857
8 4/298.13793103448275…
8 4/308.13

FAQ

What is 8 4/11 as a decimal?

Fraction 8 4/11 as a decimal is 8.(36)

How do you convert 8 4/11 to a decimal?

To convert 8 4/11 to a decimal, divide the numerator by the denominator, 4 ÷ 11 = 0.(36), then add the whole part: 8 + 0.(36) = 8.(36).

Why is 8 4/11 a repeating decimal?

In lowest terms its denominator 11 has the prime factor 11, so the division never ends: a remainder comes back and the same digits repeat forever.

What is 8 4/11 as a percent?

Multiply by 100: 8 4/11 ≈ 836.36%.

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