Question

calcula el resultado de cada operación ​

Answer 1

Respuesta:

a) - 443 / 180

b) 151 /400

Explicación paso a paso:

a)

$\frac{2}{9} - ( \frac{5}{4} + ( \frac{7}{5} \times \frac{3}{2} )) + \frac{2}{3} = \\ \\ \frac{2}{9} - ( \frac{5}{4} + \frac{21}{10} ) + \frac{2}{3} = \\ \\ \frac{2}{9} - ( \frac{(5 \times 10) + (4 \times 21)}{4 \times 10} ) + \frac{2}{3} = \\ \\ \frac{2}{9} - ( \frac{50 + 84}{40} ) + \frac{2}{3} = \\ \\ \frac{2}{9} - \frac{134}{40} + \frac{2}{3} = \\ \\ ( \frac{2}{9} - \frac{67}{20} ) + \frac{2}{3} = \\ \\ ( \frac{(2 \times 20) - (9 \times 67)}{9 \times 20} + \frac{2}{3} = \\ \\ (\frac{40 - 603}{180} ) + \frac{2}{3} = \\ \\ \frac{ - 563}{180} + \frac{2}{3} = \\ \\ \frac{( - 563 \times 3) + (180 \times 2)}{180 \times 3} = \\ \\ \frac{ - 1689 + 360}{540} = \\ \\ \frac{ - 1329}{540} = \frac{ - 443}{180}$

b)

$( \frac{7}{4} - ( \frac{3}{2} \times \frac{7}{5} ) {)}^{2} - \frac{1}{2} = \\ \\ ( \frac{7}{4} - \frac{21}{10} {)}^{2} - \frac{1}{2} = \\ \\ ( \frac{(7 \times 10) - (4 \times 21)}{4 \times 10} {)}^{2} - \frac{1}{2} = \\ \\ ( \frac{70 - 84}{40} {)}^{2} - \frac{1}{2} = \\ \\ ( \frac{ - 14}{40} {)}^{2} - \frac{1}{2} = \\ \\ ( \frac{ - 7}{20} {)}^{2} - \frac{1}{2} = \\ \\ \frac{49}{400} - \frac{1}{2} = \\ \\ \frac{(49 \times 2) - (400 \times 1)}{400 \times 2} = \\ \\ \frac{98 - 400}{800} = \\ \\ \frac{302}{800} = \frac{151}{400}$