Question

Expressão Numéricas
40-{28-4×[3(40:5-3):(17-3÷4)]}

Answer 1

$\ \ \ 40-\big\{28-4\times\big[3\cdot(40:5-3):\big(17- \frac{3}{4}\big)\big]\big\}\\ \\=40-\big\{28-4\times\big[3\cdot(8-3):\big(\frac{68}{4}- \frac{3}{4}\big)\big]\big\}\\ \\=40-\big\{28-4\times\big[3\cdot5:\big(\frac{68-3}{4}\big)\big]\big\}\\ \\=40-\big\{28-4\times\big[15:\frac{65}{4}\big]\big\}\\ \\=40-\big\{28-4\times\big[15 \cdot\frac{4}{65}\big]\big\}\\ \\=40-\big\{28-4\times\frac{60^{:5}}{65_{:5}}\big\}$

$\\=40-\big\{28-4\times\frac{12}{13}\big\}\\ \\=40-\big\{28-\frac{48}{13}\big\}\\ \\=40-\big\{\frac{364}{13}-\frac{48}{13}\big\}\\ \\=40-\big\{\frac{364-48}{13}\big\}\\ \\=40-\frac{316}{13}\\ \\= \frac{520}{13}-\frac{316}{13}\\ \\= \frac{204}{13}$