Question

if 2.1 61616 is written as P/Q such that p and q are positive integers without any common factor find the value of P + q​

Answer 1

Answer:

2.1626....

let x = 2.16 (1)

100x = 216.16... (2) [multiply x by 100 since two numbers are repeating]

2 - 1

> 99x = 214

> x = 214/99 > p/q

so p= 214 and q = 99

hence p + q = 214 + 99 = 313