What is 1/11 as a Decimal?

Fraction to Decimal Converter
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What is 1/11 as a decimal?

Answer

Fraction 1/11 as a decimal is
0.09

≈ 0.091 (two significant digits)

Repeating decimal: denominator 11 has the factor 11, not 2 or 5 · the bar marks the period 09 — 2 digits repeat forever

1 ÷ 11 by long division

remainder×10= digit × 11 + new remainderdigit
1100 × 11 + 100
101009 × 11 + 19

Remainder 1 is back after the 2nd division → the 2 digits 09 repeat: 0.09.

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Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
1/11
1/20.5
1/30.3
1/40.25
1/50.2
1/60.16
1/70.142857
1/80.125
1/90.1
1/100.1
1/110.09
1/120.083
1/130.076923
1/140.0714285
1/150.06
1/160.0625
1/170.0588235294117647
1/180.05
1/190.052631578947368421
1/200.05
1/210.047619
1/220.045
1/230.04347826086956…
1/240.0416
1/250.04
1/260.0384615
1/270.037
1/280.03571428
1/290.03448275862068…
1/300.03

FAQ

What is 1/11 as a decimal?

Fraction 1/11 as a decimal is 0.(09)

How do you convert 1/11 to a decimal?

To convert 1/11 to a decimal, divide the numerator by the denominator: 1 ÷ 11 = 0.(09).

Why is 1/11 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 1/11 as a percent?

Multiply by 100: 1/11 ≈ 9.09%.

See Also