What is 1/16 as a Decimal?

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What is 1/16 as a decimal?

Answer

Fraction 1/16 as a decimal is
0.0625

Exact, terminating: denominator 16 = 2 × 2 × 2 × 2 has only 2s and 5s · 4 decimal places

1 ÷ 16 by long division

remainder×10= digit × 16 + new remainderdigit
1100 × 16 + 100
101006 × 16 + 46
4402 × 16 + 82
8805 × 16 + 05

The remainder reaches 0 after 4 steps → 0.0625 ends.

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Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
1/11
1/20.5
1/30.3
1/40.25
1/50.2
1/60.16
1/70.142857
1/80.125
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

FAQ

What is 1/16 as a decimal?

Fraction 1/16 as a decimal is 0.0625

How do you convert 1/16 to a decimal?

To convert 1/16 to a decimal, divide the numerator by the denominator: 1 ÷ 16 = 0.0625.

Why is 1/16 a terminating decimal?

In lowest terms its denominator 16 = 2 × 2 × 2 × 2 has no prime factors other than 2 and 5, so the division ends after 4 decimal places: 1/16 = 0.0625.

What is 1/16 as a percent?

Multiply by 100: 1/16 = 6.25%.

See Also