What is 1/17 as a Decimal?

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What is 1/17 as a decimal?

Answer

Fraction 1/17 as a decimal is
0.0588235294117647

≈ 0.059 (two significant digits)

Repeating decimal: denominator 17 has the factor 17, not 2 or 5 · the bar marks the period 0588235294117647 — 16 digits repeat forever

1 ÷ 17 by long division

remainder×10= digit × 17 + new remainderdigit
1100 × 17 + 100
101005 × 17 + 155
151508 × 17 + 148
… 11 more division steps …
8804 × 17 + 124
121207 × 17 + 17

Remainder 1 is back after the 16th division → the 16 digits 0588235294117647 repeat: 0.0588235294117647.

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Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
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
1/310.032258064516129

FAQ

What is 1/17 as a decimal?

Fraction 1/17 as a decimal is 0.(0588235294117647)

How do you convert 1/17 to a decimal?

To convert 1/17 to a decimal, divide the numerator by the denominator: 1 ÷ 17 = 0.(0588235294117647).

Why is 1/17 a repeating decimal?

In lowest terms its denominator 17 has the prime factor 17, so the division never ends: a remainder comes back and the same digits repeat forever.

What is 1/17 as a percent?

Multiply by 100: 1/17 ≈ 5.88%.

See Also