What is 1/21 as a Decimal?

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What is 1/21 as a decimal?

Answer

Fraction 1/21 as a decimal is
0.047619

≈ 0.048 (two significant digits)

Repeating decimal: denominator 21 = 3 × 7 has the factor 3, 7, not 2 or 5 · the bar marks the period 047619 — 6 digits repeat forever

1 ÷ 21 by long division

remainder×10= digit × 21 + new remainderdigit
1100 × 21 + 100
101004 × 21 + 164
161607 × 21 + 137
131306 × 21 + 46
4401 × 21 + 191
191909 × 21 + 19

Remainder 1 is back after the 6th division → the 6 digits 047619 repeat: 0.047619.

Related Calculations

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Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
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
1/320.03125
1/330.03
1/340.02941176470588235
1/350.0285714

FAQ

What is 1/21 as a decimal?

Fraction 1/21 as a decimal is 0.(047619)

How do you convert 1/21 to a decimal?

To convert 1/21 to a decimal, divide the numerator by the denominator: 1 ÷ 21 = 0.(047619).

Why is 1/21 a repeating decimal?

In lowest terms its denominator 21 = 3 × 7 has the prime factor 3, 7, so the division never ends: a remainder comes back and the same digits repeat forever.

What is 1/21 as a percent?

Multiply by 100: 1/21 ≈ 4.76%.

See Also