Express 0.131313……. in p/q form
Answers
Steps to convert decimal to fractions.
x = 0.131313.... (1)
100x = 13.1313..... (2)
(As the recurring part (13), is of two digits, we multiply by 100 so that decimal parts of x and 100x are the same)
Subtracting (1) from (2)
100x - x = 13.131313.....- 0.131313...
99x = 13
Hence,
So therefore,
0.13131313..... = in form
Answer:
is the required form.
Explanation:
A rational number is a particular class of real numbers in mathematics. Any integer that can be stated in the form, with q ≠ 0, is referred to as it.
Given that, 0.131313...
Let x = 0.131313 ...........(i)
By multiplying both sides by 100 we get,
⇒ 100x = 13.1313........(ii)
Now, we subtract (i) and (ii) we get,
⇒ 100x - x = 0.1313131 - 13.1313131 = 13
⇒ 99x = 13
⇒ x =
Final answer:
Hence, is the required form.
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