How would you convert the repeating, non terminating decimal into a fraction? Explain the process as you solve the problem 0.151
5
2 answers:
Answer:
See explanation below.
Step-by-step explanation:
You have the repeating non terminating decimal x = 0.151515....
- To start converting it into a fraction, we are going to multiply both sides of the equation by 100 and we get:
100x =15.1515...
But remember that x = 0.151515... so the number 15.1515... can be written as <u>15 + x.</u> We're going to write our last equation then:
100x = 15.1515...
100x = 15 + x
And now we will solve for x
100x = 15 + x
99x = 15
x = 15/99
x = 5/33
Thus, 0.1515.... can be written as 5/33 in its fraction form.
Divide 1515 by 100 and you would get 15.15 the divide the .15 by 3 and and you will get 3.5 so the answer will be 15 3/5
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Answer:
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Step-by-step explanation:
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