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When 0.353535..... is converted to a fraction, what will be the result?
Question

When 0.353535..... is converted to a fraction, what will be the result?

A.

35/99

B.

35/100

C.

15/19

D.

1/19

Correct option is A

Given:
Decimal number = 0.353535...
Formula Used:
Let x = 0.3535...
Solution:
x = 0.353535... (Equation 1)
Multiply by 100 on both sides:
100x = 35.353535... (Equation 2)
Subtract Equation 1 from Equation 2:
99x = 35
x = 3599\frac{35}{99}​​
Final Answer
So the correct answer is (a)

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