Question

verify the following equation. (-3/5+1/6)+9/10=-3/5+(1/6+3/10)

Answer 1

$( \frac{ - 3}{5} + \frac{1}{6}) + \frac{9}{10} = \frac{ - 3}{5} + ( \frac{1}{6} + \frac{3}{10} ) \\ lhs = ( \frac{ - 3}{5} + \frac{1}{6} ) + \frac{9}{10} \\ lcm \: of \: 5 \: and \: 6 = 30 \\ \frac{ - 18 + 5}{30} \\ \frac{ - 13}{30} + \frac{9}{10} \\ lcm \: of \: 30 \: and \: 10 = 30 \\ \frac{ - 13 + 27}{30} \\ \frac{14}{30} \\ rhs = \frac{ - 3}{5} + ( \frac{1}{6} + \frac{3}{10} ) \\ \frac{ - 3}{5} + lcm \: of \: 6 \: and \: 10 \: = 60 \\ \frac{ - 3}{5} + ( \frac{10 + 18}{60} ) \\ \frac{ - 3}{5} + \frac{28}{60} \\ lcm \: of \: 60 \: and \: 5 \: = 60 \\ \frac{ - 36 + 28}{60} \\ \frac{ - 8}{60} \\ lhs \: is \: not \: equal \: to \: rhs$