Decimal 0.821 as a Fraction

Decimal to Fraction results for: 0.821 in simple form.
>>> Whole number-integral part: empty
>>> Fractional-decimal part: 821

Level of Precision:

The precision of a numeric value describes the number of digits that are used to show that value.


82100/100000
= 8210/10000
= 821/1000
a/b = numerator/denominator = 821/1000
mixed number = empty (whole number) 821/1000 (proper fraction)
0.821 = 0 821/1000

Pie chart representation of the fractional part of decimal 0.821

.821 = 821/1000


Enter a Decimal Value:

Is 0.821 a terminating, recurring or an irrational decimal?

Terminating decimals have a limited number of digits after the decimal point.

>>> Terminating decimal to fraction: 3473.61 = 3473 61/100

Recurring decimals have one or more repeating numbers after the decimal point which continue on infinitely.

>>> Recurring decimal to fraction: 1595.3333 = 1595 3333/10000 = 333/1000 = 33/100 = 1/3 (rounded)

Irrational decimals go on forever and never form a repeating pattern. This type of decimal cannot be expressed as a fraction.

>>> Irrational decimal: 0.873987179.....

Popular Conversions:
One Decimal Point to Fraction Conversions

Example:

1542.6 = 1542 6/10
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9


Two Decimal Points to Fraction Conversions:

Example:

3595.46 = 3595 46/100
0.01
0.08
0.14
0.21
0.29
0.34
0.37
0.39
0.46
0.48
0.55
0.56
0.63
0.7
0.72
0.77
0.83
0.89
0.94


Three Decimal Points to Fraction Conversions:

Example:

5646.526 = 5646 526/1000
0.003
0.035
0.071
0.114
0.161
0.208
0.241
0.286
0.319
0.36
0.396
0.427
0.466
0.502
0.546
0.589
0.631
0.665
0.712
0.756
0.791
0.824
0.861
0.893
0.934
0.973


Four Decimal Points to Fraction Conversions:

Example:

77434.4619 = 77434 4619/10000
0.0002
0.0482
0.0902
0.1142
0.1432
0.1702
0.2212
0.2502
0.2762
0.3012
0.3362
0.3802
0.4332
0.4872
0.5422
0.5892
0.6232
0.6772
0.7192
0.7532
0.7862
0.8202
0.8442
0.8952
0.9482
0.9882

Popular Decimal to Fraction Conversions:

0.01
0.03
0.12
0.2
0.22
0.23
0.24
0.32
0.34
0.39
0.4
0.46
0.52
0.6
0.61
0.69
0.78
0.79
0.85
0.86
0.94

0.02
0.1
0.16
0.17
0.18
0.21
0.22
0.31
0.39
0.48
0.5
0.59
0.65
0.74
0.79
0.86
0.9
0.98
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