Question

What should be subtracted from -8 upon 11 to get 1 upon 7

Answer 1

$Let \: the \: number \: to \: be \: subtracted \\ \: be \: x, \\ \\ ∴( - \frac{ 8}{11} ) - (x) = ( \frac{1}{7} ) \\ \\ ∴ \frac{(1 \times - 8) - (11 \times x)}{11} = ( \frac{1}{7} ) \\ \\ ∴ \frac{ (- 8 )- (11x)}{11} =( \frac{1}{7}) \\ \\ ∴ 7(- 8 - 11x) = (1\times 11) \\ \\ ∴( - 56 - 77x) = 11 \\ \\ ∴( - 77x) = (11+ 56 )\\ \\ ∴( - 77x) = 67\\ \\∴x = (- \frac{67}{77} )$