2.666.... = 2 2/3
NB Note the use three or more full stops to indicate recurring to infinity. This is the mathematicians indication of recurring to infinity.
NNB To convert a recurring decimal to a fraction.
Let
P = 2.666....
10P = 26.6666...
Subtract
9P = 24 ( Note the recurring decimal to inifinity subtract to zero).
P = 24/9
Reduce the fraction
P = 2 6/9 = 2 2/3 Done!!!!
NB This cannot be done with an IRRATIONAL number. such as 'pi'.
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The decimal form of that would be 0.50. To find this, all you have to do is take 13 an divide it by 26, as the fraction looks. This will be true for converting any fraction into a decimal.
Expressed as a decimal fraction, 6/26 is equal to 0.230769 recurring (that is, 0.230769230769...)
8 and 26 hundredths as a decimal is 8.26 - as can be quickly understood when it is written as a fraction... 8 26/100
26/50 = 52/100 = 0.52
26/52 = 1/2 = 0.5 = 50%