What is 1/77 as a Decimal?

Fraction to Decimal Converter
Fraction to convert

What is 1/77 as a decimal?

Answer

Fraction 1/77 as a decimal is
0.012987

≈ 0.013 (two significant digits)

Repeating decimal: denominator 77 = 7 × 11 has the factor 7, 11, not 2 or 5 · the bar marks the period 012987 — 6 digits repeat forever

1 ÷ 77 by long division

remainder×10= digit × 77 + new remainderdigit
1100 × 77 + 100
101001 × 77 + 231
232302 × 77 + 762
767609 × 77 + 679
676708 × 77 + 548
545407 × 77 + 17

Remainder 1 is back after the 6th division → the 6 digits 012987 repeat: 0.012987.

See Also

Fraction to Decimal Conversion Table

FractionDecimal
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
1/860.01162790697674…
1/870.01149425287356…
1/880.01136
1/890.01123595505617…
1/900.01
1/910.010989

FAQ

What is 1/77 as a decimal?

Fraction 1/77 as a decimal is 0.(012987)

How do you convert 1/77 to a decimal?

To convert 1/77 to a decimal, divide the numerator by the denominator: 1 ÷ 77 = 0.(012987).

Why is 1/77 a repeating decimal?

In lowest terms its denominator 77 = 7 × 11 has the prime factor 7, 11, so the division never ends: a remainder comes back and the same digits repeat forever.

What is 1/77 as a percent?

Multiply by 100: 1/77 ≈ 1.30%.