Question

Express 3.14 in p/q form (the bar is under 14)

Answer 1

Let p/q = 3.141414 -(i)

Multiply both side by 100

100 * p/q = 3.141414 * 100

100p/q = 314.141414 - (ii)

Subtract equation (i) from (ii)

100p/q = 314.141414

-p/q = 3.141414

99p/q = 311

p/q = 311/99 Ans.

Answer 2

Let x=3.14 (bar)=3.1414.......(1)

Multiplying both sides by 100 since two digits are remaining we get,

=> 100x= 314.1414.....

100x=311+3.1414......
100x=311+ x [From (1)]
100x-x=311
99x=311
311
x=-----
99

So....this is in the form of p/q