Question

Express 1.2171717------------ in the form of p/q. ​

Answer 1

Answer:

241 / 198

Step-by-step explanation:

Given  

Express 1.2171717------------ in the form of p/q.  

ANSWER  

Let x = 1.2171717

So x = 1.217 (here 17 is recurring)

Let x = 1.2171717

Multiply both sides by 10

10 x = 12.171717 -------------(1)

Again multiply both sides by 100

1000 x = 1217.171717 ----------(2)

Now subtracting 2 from 3 we get

990 x = 1205

 x = 1205 / 990

x = 241 / 198

So this is in the form of p/q