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daca a/b =0,1(6) , aflati valoarea raportului 5a+b/ 8a-4b

Răspuns :

a/b=0,1(6)=(16-1)/90=15/90=1/6
=> a/b=1/6=>a=b/6
5a+b= 5 b/6 +b
Amplificam cu 6 la b 
=> (5b+6b)/6= 11b/6
8a-4b= 8b/6-4b
Amplificam cu 6 la 4b
=> (8b-24b)/6=-16b/6
=>>>>>>>>>>>>>>>>5a+b/8a-4b= (11b/6)/(16b/6)=11b/16b=11/16=0.68
Sper ca te-am ajutat!