Ta có :
\(\frac{1}{c}=\frac{1}{2}.\left(\frac{1}{a}+\frac{1}{b}\right)\)
\(\frac{1}{c}:\frac{1}{2}=\frac{1}{a}+\frac{1}{b}\)
\(\frac{2}{c}=\frac{b}{ab}+\frac{a}{ab}\)
\(\frac{2}{c}=\frac{a+b}{ab}\)
\(2ab=\left(a+b\right)c\)
\(ab+ab=ac+bc\)
\(ab-ac=bc-ab\)
\(a.\left(b-c\right)=b.\left(c-a\right)\)
\(\frac{a}{b}=\frac{c-a}{b-c}\)