Question

Упростите выражение: дробь с-6/8+12с - дробь 2с-7/15с+10

Answer 1

$frac{c-6}{8+12c}-frac{2c-7}{1c+10}=frac{c-6}{4left(3c+2right)}-frac{2c-7}{5left(3c+2right)} = frac{left(c-6right)cdot :5}{20left(3c+2right)}-frac{left(2c-7right)cdot :4}{20left(3c+2right)}=$ 
$=frac{5left(c-6right)-4left(2c-7right)}{20left(3c+2right)}=frac{-3c-2}{20left(3c+2right)}=frac{-left(3c+2right)}{20left(3c+2right)}=frac{-left(3c+2right)}{20left(3c+2right)}=-frac{1}{20}=-0,05$