Question

-1/2+[(-4/8+3/7)] and [(-1/2+3/7]+(-4/3)]

Answer 1

$\\(i)⟹- \frac{ 1}{ 2} +[( \frac{ - 4}{ 8} + \frac{3}{7} )]$

$\\⟹- \frac{1}{2} + \frac{ - 28 + 24}{56}$

$\\⟹- \frac{1}{2} - \frac{4}{56}$

$\\⟹- \frac{ 1}{2} - \frac{1}{14}$

$\\⟹\frac{ - 7 - 1}{14}$

$\\⟹\frac{ - 8}{14}$

$\\⟹\frac{ - 4}{7}$

$\\(ii)⟹[( \frac{-1}{2} + \frac{3}{7}) + ( \frac{-4}{3}$

$\\⟹[( \frac{-7 + 6}{14}) - \frac{4}{3}]$

$\\⟹- \frac{1}{14} - \frac{4}{3}$

$\\⟹\frac{-42 - 56}{42}$

$\\⟹\frac{-98}{42}$

$\\⟹-\frac{49}{42}$