Question

Note: enter your answer and show all the steps that you use to solve this problem in the space provided. how you would convert the repeating, nonterminating decimal to a fraction? explain the process as you solve the problem. 0 . 1515 . . .

Answer 1

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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