Question

Express in p/ q form a. 3.22222...

Answer 1

$\huge\bold\red{Question} \:$

Express in p/ q form a. 3.22222...

$\huge\bold\orange{solution}$

$\bold{let \: x = 3.222222......} \\ \bold{10x = 3.22222.... \times 10} \\\bold{10x = 32.222....... } \\ \bold{10x - x} = \bold{32.2222... - 3.2222...} \\ \bold{9x = 29} \\ \bold{x = \frac{29}{9} } \\ \boxed{ x = \frac{29}{9} }$

$\bold\purple{so \: 3.2222......... \: in \: \frac{p}{q} \: form \: is \: \frac{29}{9} }$