Question 109

The number 0. 121212.... in the P form p/q is equal to

Solution

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Let
x = 0.121212  be equation 1
100x = 12.121212 be equation 2
Subtracting 1 from 2
99x = 12
x = $$\frac{12}{99}$$
   = $$\frac{4}{33}$$

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