Question

Se a=5/4a, b=-4/5 e c=0,5, calcule a+b+c

Answer 1

$a=\frac{5}{4}\ \ \ \ \ \ \ \ \ \ b=-\frac{4}{5}\ \ \ \ \ \ \ \ \ \ c=0,5=\frac{5}{10}=\frac{1}{2}\ \ \ \ \ \ \ \ \ \ a+b+c=?$

Encontrando o mínimo múltiplo comum:
4, 5, 2 | 2
2, 5, 1 | 2
1, 5, 1 | 5
1, 1, 1      => 2 x 2 x 5 = 20

Resolvendo:
$a+b+c=\frac{5}{4}+(-\frac{4}{5})+\frac{1}{2}\\\\ a+b+c=\frac{5}{4}-\frac{4}{5}+\frac{1}{2}$

$a+b+c=\frac{(5\times5)-(4 \times 4) + (1 \times 10)}{20}\\\\ a+b+c=\frac{25-16+10}{20}\\\\ a+b+c=\frac{9+10}{20}\\\\ \boxed{a+b+c=\frac{19}{20}}$

Bons estudos!