What is 1 and 1/16 as a Decimal?

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What is 1 1/16 as a decimal?

Answer

Fraction 1 1/16 as a decimal is
1.0625

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

1 1/16: whole part, then 1 ÷ 16

Whole part 1 stays in front; divide the fraction part:

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.

1 + 0.0625 = 1.0625

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See Also

Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
1 1/21.5
1 1/31.3
1 1/41.25
1 1/51.2
1 1/61.16
1 1/71.142857
1 1/81.125
1 1/91.1
1 1/101.1
1 1/111.09
1 1/121.083
1 1/131.076923
1 1/141.0714285
1 1/151.06
1 1/161.0625
1 1/171.0588235294117647
1 1/181.05
1 1/191.052631578947368421
1 1/201.05
1 1/251.04

FAQ

What is 1 1/16 as a decimal?

Fraction 1 1/16 as a decimal is 1.0625

How do you convert 1 1/16 to a decimal?

To convert 1 1/16 to a decimal, divide the numerator by the denominator, 1 ÷ 16 = 0.0625, then add the whole part: 1 + 0.0625 = 1.0625.

Why is 1 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 1/16 = 1.0625.

What is 1 1/16 as a percent?

Multiply by 100: 1 1/16 = 106.25%.

See Also