Question

Convert 3.15(15)bar into p/q form

Answer 1

x = 3.15(15 bar) ----------(i)
Number has two digits repeating so we multiply it by 100 to get it.

100x = 315.15(15 bar) -----------(ii)

Subtract (i) from (ii) , we get

99x = 312
x = 312/99 = 104/33

Therefore,

$\frac{104}{33} \: \: is \: the \: answer$