What is 1/120 as a Decimal?

Fraction to Decimal Converter
Fraction to convert

What is 1/120 as a decimal?

Answer

Fraction 1/120 as a decimal is
0.0083

≈ 0.0083 (two significant digits)

Repeating decimal: denominator 120 = 2 × 2 × 2 × 3 × 5 has the factor 3, not 2 or 5 · the bar marks the period 3 — it repeats forever

1 ÷ 120 by long division

remainder×10= digit × 120 + new remainderdigit
1100 × 120 + 100
101000 × 120 + 1000
10010008 × 120 + 408
404003 × 120 + 403

Remainder 40 repeats from the 4th digit on → 0.0083.

See Also

Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
1/1050.0095238
1/1060.00943396226415
1/1070.00934579439252…
1/1080.00925
1/1090.00917431192660…
1/1100.009
1/1110.009
1/1120.0089285714
1/1130.00884955752212…
1/1140.0087719298245614035
1/1150.00869565217391…
1/1160.00862068965517…
1/1170.008547
1/1180.00847457627118…
1/1190.00840336134453…
1/1200.0083
1/1210.00826446280991…
1/1220.00819672131147…
1/1230.00813
1/1240.00806451612903225
1/1250.008
1/1260.0079365
1/1270.00787401574803…
1/1280.0078125
1/1290.00775193798449…
1/1300.0076923
1/1310.00763358778625…
1/1320.0075
1/1330.007518796992481203
1/1340.00746268656716…

FAQ

What is 1/120 as a decimal?

Fraction 1/120 as a decimal is 0.008(3)

How do you convert 1/120 to a decimal?

To convert 1/120 to a decimal, divide the numerator by the denominator: 1 ÷ 120 = 0.008(3).

Why is 1/120 a repeating decimal?

In lowest terms its denominator 120 = 2 × 2 × 2 × 3 × 5 has the prime factor 3, so the division never ends: a remainder comes back and the same digits repeat forever.

What is 1/120 as a percent?

Multiply by 100: 1/120 ≈ 0.83%.

See Also