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[tex]\sf x=0,25444...\cdot100\\\sf 100x=25,444\cdot10\\\sf 1000x=254,444....\\-\underline{\begin{cases}\sf1000x=254,\diagup\!\!\!4\diagup\!\!\!4\diagup\!\!\!4...\\\sf100x=25,\diagup\!\!\!4\diagup\!\!\!4\diagup\!\!\!4...\end{cases}}\\\sf900x=229\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=\dfrac{229}{900}}}}}\blue{\checkmark}[/tex]
