Question

Dizima períodica
1- transforme as dízima periódica em fração
a) 0,333....
b) 0,232323....
c) 1,09090....
d) 2,33333....


2- Calcule os as expressões
a) 1/3+(2/3)= ?
b) 6/4-(3/5)x3= ?

Answer 1

Resposta:

Fração geratriz

1)

a) 0,333.... =>> $\mathsf{\frac{3}{9}}$

b) 0,232323....=>> $\mathsf{\frac{23}{99}}$

c) 1,09090....=>> $\mathsf{\frac{109-1}{99}=\frac{108}{99}}$

d) 2,33333....=>> $\mathsf{\frac{23-2}{9}=\frac{21}{9}=>\frac{7}{3}}$

2)

a)

$\mathsf{\frac{1+2}{3}=\frac{3}{3}=>1}$

b)

$\mathsf{\frac{6}{4}+(\frac{3}{5}\times 3)}$

$\mathsf{\frac{6}{4}+\frac{9}{5}}$

$\mathsf{\frac{30+36}{20}}$

$\mathsf{\frac{66}{20}=\frac{33}{10}}$