Question

Express 1.8181_ _ _ _ in p/q form where p, q are integers and
q  0

Answer 1

Answer:

Step-by-step explanation:

x=1.818181

100x=181.8181818

9x= 180

x=20

Answer 2

Answer:

Given that,

Let x =1.8181.....

X=1.81818181..

Period=8,1

Periodicity =2

Multiply both sides with 10^2=100

$100x = 181.8181... \\ \: \: \: - x = \: \: \: \: \: 1.8181.. \\ \frac{}{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \: \: \: 99x = 18 \\ \\ \: \: \: \: \: \: \: x = \frac{18}{99} \\ x = \frac{2}{11}$

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