Question

encontre frações geratrizes das seguines dizimas periódicas. a 0,8333... d 0,5333...​

Answer 1

$x = 0,8333...\\10x = 8,333...\\10x - x = 8,333... - 0,8333...\\9x = 7,5\\90x = 75\\\\x = \cfrac{75}{90} \\\\x = \cfrac{5}{6}$

$\boxed{0,8333 = \cfrac{5}{6} }$

$y = 0,5333...\\10y = 5,333...\\10y - y = 5,333... - 0,5333...\\9y = 4,8\\90y = 48\\\\y = \cfrac{48}{90} \\\\y = \cfrac{8}{15}$

$\boxed{0,5333... = \cfrac{8}{15}}$