Question

Ma poate ajuta cineva 1,3(44)=1,34(4)

Answer 1

[tex]\text{Le luam pe fiecare la rand:}\\ 1,3(44)=1\dfrac{344-3}{990}=1\dfrac{341}{990}=\dfrac{990+341}{990}=\dfrac{1331}{990}\\ \\ 1,34(4)=1\dfrac{344-34}{900}=1\dfrac{310}{900}=\dfrac{900+310}{900}=\dfrac{1210}{900}\\ \dfrac{1331}{990}=\dfrac{1210}{900}(\text{Inmultim pe diagonala})\\ 900\cdot 1331=990\cdot 1210\\ 1197900=1197900\Rightarrow \text{Cele doua fractii sunt egale.}[/tex]