Question

divide the sum of 8/9 and -3/14 by their difference​

Answer 1

Answer:

$sum \: of \: \frac{8}{9} and \frac{ - 3}{14} \\ \frac{8}{9} + ( \frac{ - 3}{14} ) = \frac{8}{9} - \frac{3}{14} \\ lcm \: of \: 9and \: 14 = 126 \\ \frac{8 \times 14}{9 \times 14} = \frac{112}{126} - \frac{3 \times 9}{14 \times 9} = \frac{27}{126} \\ \frac{112 - 27}{126} = \frac{85}{126}$

$Now \: Difference \: of \frac{8}{9} and \frac{ - 3}{14} \\ \frac{8}{9} - \frac{ - 3}{14} = \frac{8}{9} + \frac{3}{14} \\ = \frac{112 + 27}{126} = 139$

Divide 85/126. by 139/126 = 85/139