Question 1157229
{{{((1/a)+(1/b)+(1/c))/((1/(a+b))+(1/(a+c))+(1/(c+b)))}}}

Numerator = {{{(a+b+c)/abc}}}

Denominator = {{{((a+c)(c+b) +(a+b)(c+b)+(a+b)(a+c))/(a+c)(c+b)(a+b)}}}


= {{{ (ac+ab+c^2+bc +ac+ab+bc+b^2+a^2+ac+ab+bc)/(a+c)(c+b)(a+b)}}}

= {{{ (a^2+b^2+c^2+3ab+3bc+3ac)/(ac+ab+bc+c^2+ac+bc+ab+b^2+a^2+ab+ac+bc)}}}


= {{{(a^2+b^2+c^2+3ab+3bc+3ac)/(a^2+b^2+c^2+3ab+3bc+3ac)}}}

Denominator =1

Numerator = {{{(a+b+c)/abc}}}