Question

write p/q form of 1.234 (bar on 234)

Answer 1

$\large\orange{\sf{let~x~be~1.234234234....(1)}}$

$\large\orange{\sf{Multiplying~1000~on~both~sides}}$

$\large\orange{\sf{We~have~,}}$

$\large\orange{\sf{1000x~=~1234.234234....(2)}}$

$\large\orange{\sf{Subtracting~(2)~-(1)}}$

$\large\orange{\sf{We~have~}}$

$\large\orange{\sf{1000x~-~x~=~1234.234~-~1.234}}$

$\large\orange{\sf{999x~=~1234}}$

$\large\mathtt \color{blue}{x~=~ \frac{1234}{999} (p/q~form)}$