Question

encontre a fração geratrix 0,0777...​

Answer 1

Resposta:

0,0777...= 7-0= 7

9 9

Explicação passo-a-passo:

Bons estudos :)

Answer 2

$\Large\boxed{\begin{array}{l}\sf 0,0777\dotsc\\\sf x=0,0777\dotsc\cdot100\\\sf 100x=7,777\dotsc\cdot10\\\sf 1000x=77,777\dotsc\\-\underline{\begin{cases}\sf 1000x=77,777\dotsc\\\sf 100x=7,777\dotsc\end{cases}}\\\sf 900x=70\\\sf x=\dfrac{70\div10}{900\div10}\\\\\sf x=\dfrac{7}{90}\end{array}}$