Question

express the decimal in form of p/q,where integer q/0

Answer 1

Hey mate! here's your answer!
=============================>

let x = 0.3178178178.....

so,

10x = 3.178178178....

then,

10x × 1000 = 3.178178178.... × 1000

=> 10,000x = 3178.178178....

now,

10,000x - 10x = 3178.178178.... - 3.178178178....

9990x = 3175

x = $\frac{3175}{9990}$

we can simplify it more :-

x = $\frac{635}{1998}$

thus, 0.3178178.... in p/q form is $\frac{635}{1998}$.

◀️hope you understood!▶️