What is 1/48 as a Decimal?

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What is 1/48 as a decimal?

Answer

Fraction 1/48 as a decimal is
0.02083

≈ 0.021 (two significant digits)

Repeating decimal: denominator 48 = 2 × 2 × 2 × 2 × 3 has the factor 3, not 2 or 5 · the bar marks the period 3 — it repeats forever

1 ÷ 48 by long division

remainder×10= digit × 48 + new remainderdigit
1100 × 48 + 100
101002 × 48 + 42
4400 × 48 + 400
404008 × 48 + 168
161603 × 48 + 163

Remainder 16 repeats from the 5th digit on → 0.02083.

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Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
1/330.03
1/340.02941176470588235
1/350.0285714
1/360.027
1/370.027
1/380.0263157894736842105
1/390.025641
1/400.025
1/410.02439
1/420.0238095
1/430.02325581395348…
1/440.0227
1/450.02
1/460.02173913043478…
1/470.02127659574468…
1/480.02083
1/490.02040816326530…
1/500.02
1/510.0196078431372549
1/520.01923076
1/530.0188679245283
1/540.0185
1/550.018
1/560.017857142
1/570.017543859649122807
1/580.01724137931034…
1/590.01694915254237…
1/600.016
1/610.01639344262295…
1/620.0161290322580645

FAQ

What is 1/48 as a decimal?

Fraction 1/48 as a decimal is 0.0208(3)

How do you convert 1/48 to a decimal?

To convert 1/48 to a decimal, divide the numerator by the denominator: 1 ÷ 48 = 0.0208(3).

Why is 1/48 a repeating decimal?

In lowest terms its denominator 48 = 2 × 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 1/48 as a percent?

Multiply by 100: 1/48 ≈ 2.08%.

See Also