What is 10/11 as a Decimal?

Fraction to Decimal Converter
Fraction to convert

What is 10/11 as a decimal?

Answer

Fraction 10/11 as a decimal is
0.90

≈ 0.91 to hundredths

Repeating decimal: denominator 11 has the factor 11, not 2 or 5 · the bar marks the period 90 — 2 digits repeat forever

10 ÷ 11 by long division

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

Remainder 10 is back after the 2nd division → the 2 digits 90 repeat: 0.90.

See Also

Fraction to Decimal Conversion Table

FractionDecimal
10/110
10/25
10/33.3
10/42.5
10/52
10/61.6
10/71.428571
10/81.25
10/91.1
10/101
10/110.90
10/120.83
10/130.769230
10/140.714285
10/150.6
10/160.625
10/170.5882352941176470
10/180.5
10/190.526315789473684210
10/200.5
10/210.476190
10/220.45
10/230.43478260869565…
10/240.416
10/250.4
10/260.384615
10/270.370
10/280.3571428
10/300.3
10/310.322580645161290

FAQ

What is 10/11 as a decimal?

Fraction 10/11 as a decimal is 0.(90)

How do you convert 10/11 to a decimal?

To convert 10/11 to a decimal, divide the numerator by the denominator: 10 ÷ 11 = 0.(90).

Why is 10/11 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 10/11 as a percent?

Multiply by 100: 10/11 ≈ 90.91%.