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[tex]\bigg(\dfrac{a}{b}\bigg)=2.6\bar{3}\ \therefore\ 10\bigg(\dfrac{a}{b}\bigg)=26.\bar{3}\ \therefore\ 100\bigg(\dfrac{a}{b}\bigg)=263.\bar{3}[/tex][tex]a-b=79-30\ \therefore\ \boxed{a-b=49}[/tex]
[tex]100\bigg(\dfrac{a}{b}\bigg)-10\bigg(\dfrac{a}{b}\bigg)=263.\bar{3}-26.\bar{3}\ \therefore\ 90\bigg(\dfrac{a}{b}\bigg)=237\ \therefore[/tex]
[tex]\bigg(\dfrac{a}{b}\bigg)=\dfrac{237}{90}\ \therefore\ \boxed{\bigg(\dfrac{a}{b}\bigg)=\dfrac{79}{30}}\ \to\ \boxed{a=79}\ \text{e}\ \boxed{b=30}[/tex]
[tex]a-b=79-30\ \therefore\ \boxed{a-b=49}[/tex]