Question

Me ajudem com essa questão,como fasso ?
Calcule
A) 0,7777... +1sobre 2
b) 1,222....+1 sobre 6
c)0,7777... - 1 sobre 2
d)(0,222..+1 sobre 2):2 sobre 3

Answer 1

a)
$0,7777...+\frac{1}{2}=\frac{7}{9}+\frac{1}{2}=\frac{14+9}{18}=\frac{23}{18}$

b)
$1,222...+\frac{1}{6}=1+\frac{2}{9}+\frac{1}{6}=\frac{18+4+3}{18}=\frac{25}{18}$

c)
$0,777...-\frac{1}{2}=\frac{7}{9}-\frac{1}{2}=\frac{14-9}{18}=\frac{5}{18}$

d)
$\frac{0,222...+\frac{1}{2}}{\frac{2}{3}}=\frac{\frac{2}{9}+\frac{1}{2}}{\frac{2}{3}}=\frac{\frac{13}{18}}{\frac{2}{3}}=\frac{13}{18}*\frac{3}{2}=\frac{49}{36}$