What is 8 and 3/11 as a Decimal?

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What is 8 3/11 as a decimal?

Answer

Fraction 8 3/11 as a decimal is
8.27

≈ 8.27 to hundredths

Repeating decimal: denominator 11 has the factor 11, not 2 or 5 · the bar marks the period 27 — 2 digits repeat forever

8 3/11: whole part, then 3 ÷ 11

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

remainder×10= digit × 11 + new remainderdigit
3302 × 11 + 82
8807 × 11 + 37

Remainder 3 is back after the 2nd division → the 2 digits 27 repeat: 0.27.

8 + 0.27 = 8.27

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Fraction to Decimal Conversion Table

FractionDecimal
8 3/48.75
8 3/58.6
8 3/68.5
8 3/78.428571
8 3/88.375
8 3/98.3
8 3/108.3
8 3/118.27
8 3/138.230769
8 3/158.2
8 3/168.1875
8 3/198.157894736842105263
8 3/208.15

FAQ

What is 8 3/11 as a decimal?

Fraction 8 3/11 as a decimal is 8.(27)

How do you convert 8 3/11 to a decimal?

To convert 8 3/11 to a decimal, divide the numerator by the denominator, 3 ÷ 11 = 0.(27), then add the whole part: 8 + 0.(27) = 8.(27).

Why is 8 3/11 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 3/11 as a percent?

Multiply by 100: 8 3/11 ≈ 827.27%.

See Also