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Fraction to Decimal Conversion
(Math General Fraction to Decimal Conversion)
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Istatistica

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Fraction to Decimal Conversion Tables

Important Note: any span of numbers that is underlined signifies that those numbers are repeated. For example, 0.09 signifies 0.090909....

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Only fractions in lowest terms are listed. For instance, to find 2/8, first simplify it to 1/4 then search for it in the table below.
fraction = decimal
1/1 = 1
1/2 = 0.5
1/3 = 0.32/3 = 0.6
1/4 = 0.253/4 = 0.75
1/5 = 0.22/5 = 0.43/5 = 0.64/5 = 0.8
1/6 = 0.165/6 = 0.83
1/7 = 0.1428572/7 = 0.2857143/7 = 0.4285714/7 = 0.571428
5/7 = 0.7142856/7 = 0.857142
1/8 = 0.1253/8 = 0.3755/8 = 0.6257/8 = 0.875
1/9 = 0.12/9 = 0.24/9 = 0.45/9 = 0.5
7/9 = 0.78/9 = 0.8
1/10 = 0.13/10 = 0.37/10 = 0.79/10 = 0.9
1/11 = 0.092/11 = 0.183/11 = 0.274/11 = 0.36
5/11 = 0.456/11 = 0.547/11 = 0.63
8/11 = 0.729/11 = 0.8110/11 = 0.90
1/12 = 0.0835/12 = 0.4167/12 = 0.58311/12 = 0.916
1/16 = 0.06253/16 = 0.1875 5/16 = 0.31257/16 = 0.4375
11/16 = 0.687513/16 = 0.812515/16 = 0.9375
1/32 = 0.031253/32 = 0.093755/32 = 0.156257/32 = 0.21875
9/32 = 0.2812511/32 = 0.3437513/32 = 0.40625
15/32 = 0.4687517/32 = 0.5312519/32 = 0.59375
21/32 = 0.6562523/32 = 0.7187525/32 = 0.78125
27/32 = 0.8437529/32 = 0.9062531/32 = 0.96875

Need to convert a repeating decimal to a fraction? Follow these examples:
Note the following pattern for repeating decimals:
0.22222222... = 2/9
0.54545454... = 54/99
0.298298298... = 298/999
Division by 9's causes the repeating pattern.

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Note the pattern if zeros precede the repeating decimal:
0.022222222... = 2/90
0.00054545454... = 54/99000
0.00298298298... = 298/99900
Adding zero's to the denominator adds zero's before the repeating decimal.

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To convert a decimal that begins with a non-repeating part, such as 0.21456456456456456..., to a fraction, write it as the sum of the non-repeating part and the repeating part.
0.21 + 0.00456456456456456...
Next, convert each of these decimals to fractions. The first decimal has a divisor of power ten. The second decimal (which repeats) is converted according to the pattern given above.
21/100 + 456/99900
Now add these fraction by expressing both with a common divisor
20979/99900 + 456/99900
and add.
21435/99900
Finally simplify it to lowest terms
1429/6660
and check on your calculator or with long division.
= 0.2145645645...

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iStatistica Pro offers web-access to track CPU, Memory, Disk and Sensors statistics over local area network. Just enable web-access in application settings and point your browser to Mac's address.

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    Features
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