Question

Calcule o valor da expressão :

$3 - ( \frac{4}{9} . \frac{9}{10} - \frac{1}{15} ) ( \frac{3}{2} + \frac{5}{8} . \frac{4}{5} )$

Answer 1

$3- ( \frac{4}{9} * \frac{9}{10} - \frac{1}{15} ) ( \frac{3}{2} + \frac{5}{8} * \frac{4}{5} )$

3- (36/90- 1/15) (3/2+ 20/40)=
3- (2/5 -1/15) ((3/2+ 2/4)=
3-( 5/15) (  8/4)=
3- 40/60
3- 2/3=
     7/3

Answer 2

Olá,

Calculando separadamente:

(4/9·9/10 - 1/15) = (4/10 - 1/5) = (2/5 - 1/15) = (6/15 - 1/15) 
(6-1)/15 = 5/15 = 1/3

(3/2+5/8·4/5) = (3/2+4/8) = (3/2+1/2) = (3+1)/2 = 4/2 = 2

Reescrevendo a equação:

3 - (1/3)(2) = 3 - 2/3 = (9-2)/3 = 7/3

Resposta:

7/3