What is 1/24 as a Decimal?

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Fraction to convert

What is 1/24 as a decimal?

Answer

Fraction 1/24 as a decimal is
0.0416

≈ 0.042 (two significant digits)

Repeating decimal: denominator 24 = 2 × 2 × 2 × 3 has the factor 3, not 2 or 5 · the bar marks the period 6 — it repeats forever

1 ÷ 24 by long division

remainder×10= digit × 24 + new remainderdigit
1100 × 24 + 100
101004 × 24 + 44
4401 × 24 + 161
161606 × 24 + 166

Remainder 16 repeats from the 4th digit on → 0.0416.

Related Calculations

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Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
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
1/360.027
1/370.027
1/380.0263157894736842105

FAQ

What is 1/24 as a decimal?

Fraction 1/24 as a decimal is 0.041(6)

How do you convert 1/24 to a decimal?

To convert 1/24 to a decimal, divide the numerator by the denominator: 1 ÷ 24 = 0.041(6).

Why is 1/24 a repeating decimal?

In lowest terms its denominator 24 = 2 × 2 × 2 × 3 has the prime factor 3, so the division never ends: a remainder comes back and the same digits repeat forever.

What is 1/24 as a percent?

Multiply by 100: 1/24 ≈ 4.17%.

See Also