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If you want to know "why", you need to know how to solve it.
Write:
(Equation 1) x = 0.151515...
Multiply that by 100 (the factor 100, a one followed by two zeros, is chosen because the repetition occurs every two digits):
(Equation 2) 100 x = 15.151515...
Subtract equation 1 from equation 2, and solve the resulting equation for "x". That will give you the number as a fraction.
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What is .015 as a fraction?
.015 as a fraction is 15/1000. In simplified form it is 3/200.
What is 0.194 as a repeating fraction?
what is 0.194 as a repeating fraction
What is 0.78 repeating as a fraction?
0.78 repeating as a fraction = 78/99
What is 1.4 repeating as a fraction?
0.14 repeating as a fraction = 14/99
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3.1 repeating, as a rational fraction is 28/9.
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3.25 repeating written as a fraction is 322/99
What is 1.19 repeating into a fraction?
1.'19' repeating '19' as a fraction is 118/99
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If all 3 digits are repeating then as a fraction it is 215/999
What is the fraction of the repeating decimal 0.7...?
The fraction of the repeating decimal 0.7... is 7/9
What is 0.53 repeating as a fraction?
It is: 53/99It is: 0.5333 ... repeating = 8/15 as a fraction
