What is 1/71 as a Decimal?

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What is 1/71 as a decimal?

Answer

Fraction 1/71 as a decimal is
0.01408450704225…

≈ 0.014 (two significant digits)

Repeating decimal: denominator 71 has the factor 71, not 2 or 5 · a period of 35 digits — the first 14 decimal places are shown

1 ÷ 71 by long division

remainder×10= digit × 71 + new remainderdigit
1100 × 71 + 100
101001 × 71 + 291
292904 × 71 + 64
… 30 more division steps …
494906 × 71 + 646
646409 × 71 + 19

Remainder 1 returns after the 35th division → the period is 35 digits (computed, not printed).

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Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
1/560.017857142
1/570.017543859649122807
1/580.01724137931034…
1/590.01694915254237…
1/600.016
1/610.01639344262295…
1/620.0161290322580645
1/630.015873
1/640.015625
1/650.0153846
1/660.015
1/670.01492537313432…
1/680.014705882352941176
1/690.01449275362318…
1/700.0142857
1/710.01408450704225…
1/720.0138
1/730.01369863
1/740.0135
1/750.013
1/760.01315789473684210526
1/770.012987
1/780.0128205
1/790.0126582278481
1/800.0125
1/810.012345679
1/820.012195
1/830.01204819277108…
1/840.01190476
1/850.01176470588235294

FAQ

What is 1/71 as a decimal?

Fraction 1/71 as a decimal is 0.01408450704225…

How do you convert 1/71 to a decimal?

To convert 1/71 to a decimal, divide the numerator by the denominator: 1 ÷ 71 ≈ 0.014.

Why is 1/71 a repeating decimal?

In lowest terms its denominator 71 has the prime factor 71, so the division never ends: a remainder comes back and the same digits repeat forever.

What is 1/71 as a percent?

Multiply by 100: 1/71 ≈ 1.41%.

See Also