Question

Convert 33.131313.......(13 is Recurring) in the form of p/q. Quickly solve this.​

Answer 1

Let y=33.13131313....... --------------------------------1

we have to multiply 10 or 100 or 1000 on both the sides depending on the the number of digits recurring in the decimal place

100y=3313.13131313........ -------------------------------2

Eq2 -eq1

100y-y = 3313.1313...... - 33.1313...

99y=3280

y=3280/99