Question

determine a fração geratriz das dízimas abaixo 1,74444​

Answer 1

$\large\boxed{\begin{array}{l}\sf x=1,7444\cdot10\\\sf 10x=17,444....\cdot10\\\sf 100x=174,444...\\-\underline{\begin{cases}\sf 100x=174,444... \\\sf10x=17,444...\end{cases}}\\\sf90x=157\\\\\sf x=\dfrac{157}{90}\end{array}}$