The fraction for 0.1515... is 5/33
It is possible to convert non terminating decimals to fraction. Because decimals are originally obtained from fractions itself.
If we have a terminating decimal number, by multiplying and dividing with powers of 10 gives a fraction.
For example, for the decimal 0.25, multiply and divide it with 100 which gives, 25/100 = 1/4.
Now we need to find the fraction corresponding to the decimal 0.1515..
Let x = 0.1515...
First we take 100x = 15.1515...
Now we can subtract the decimal part completely from 15.1515... since it is non terminating.
Now, 100x - x = 15.1515..- 0.1515.. = 15
Therefore, 99x = 15
and x = 15/99 = 5/33
So 5/33 is the fraction for the decimal 0.1515...
Learn more about fractions and decimals at brainly.com/question/703656
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