Question

determine no caderno a fração geratriz dos números a seguir! a)64,4 B)0,45 c)9,590

Answer 1

a)

$62,4=\dfrac{624\div2}{10\div2}=\dfrac{312}{5}$

b)

$0,\overline{45}=0,454545...$

$x=0,454545... \times100\\100x=45,454545...$

$-\underline{\begin{cases}100x=45,\cancel{454545...}\\x=0,\cancel{454545... }\end{cases}}$

$\mathsf{99x=45}\\\mathsf{x=\dfrac{45\div9}{99\div9}}\\\mathsf{x=\dfrac{5}{11}}$

c)

$9,5\overline{90}=9,5909090...$

$w=9,5909090... \times10\\10w=95,909090\times100\\1000w=9590,909090...$

$-\underline{\begin{cases}1000w=9590,\cancel{909090...}\\10w=95,\cancel{909090... }\end{cases}}$

$\mathsf{990w=9495}\\\mathsf{w=\dfrac{9495\div45}{990\div45}}\\\mathsf{w=\dfrac{211}{22}}$