Question

express this in 6.0163163163.... in p/q form.​

Answer 1

let $x = 6.0163163163....$

Multiplying both sides by 10,

$10x = 60.163163163....-(i)$

Multiplying both sides by 1000,

$10000x = 60163.163163163....-(ii)$

Substracting eqn $(i)$ from eqn $(ii)$ , we get

$9990x = 60103\\x = 60103/9990$

Therefore, 6.0163163163.... can be expressed in p/q form as  $\frac{60103}{9990}$

pls mark as brainliest as it took so much time to make with math input! no copy paste content here :D