Let the fraction be q; then:
{1} q = 0.111...
Multiply both sides by 10:
{2} 10q = 1.111...
Subtract {1} from {2} to get:
10q - q = 1.111... - 0.111...
→ 9q = 1
→ q = 1/9
Therefore 0.111... = 1/9
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To convert any repeating decimal to a fraction:
The fraction created may not be a "proper" fraction with a decimal in the numerator; this is not a problem: multiply top and bottom by the required power of 10 to remove the decimal point and then simplify as normal
For 0.181818... this gives:
Thus 0.181818... = 2/11
For 0.1666... this gives:
Thus 0.1666... = 1/6
decimal and repeating bar
If all three digits are repeating then as a fraction it is 41/333 in its simplest form
113/999
It is 1 5/9.
0.78 repeating as a fraction = 78/99
decimal and repeating bar
If all three digits are repeating then as a fraction it is 41/333 in its simplest form
113/999
It is 1 5/9.
It is: 35/12 = 2.9166666....repeating 6
444/100 unless that's repeating, in which case it is 4/9
If it's a 6 repeating decimal then it is 224/3 if not then it is 746666/10000
what is 0.194 as a repeating fraction
0.78 repeating as a fraction = 78/99
0.14 repeating as a fraction = 14/99
If that is a terminating decimal, it is 2 535353/1000000 (as a mixed number) = 2535353/1000000 (as an improper fraction) If that is a repeating decimal 2.535353... with the 53 repeating, it is 2 53/99 = 251/99
If you mean: 0.151515.....repeating then as a fraction it is 5/33