Question

Вычислите значение выражения: 1) -3 1/12+ 1/6=
2) 3 6/7+(-6 4/9)=
3) 9 1/6+(- 5 3/4)=​

Answer 1

$1) - 3 \frac{1}{12} + \frac{1 {}^{(2} }{6} = - \frac{37}{12} + \frac{2}{12} = - \frac{35}{12} = - 2 \frac{11}{12} \\ \\ 2)3 \frac{6 {}^{(9} }{7} + ( - 6 \frac{4 {}^{(7} }{9} ) = 3 \frac{54}{63} + ( - 6 \frac{28}{63} ) = \frac{243}{63} + ( - \frac{406}{63} ) = \frac{243}{63} - \frac{406}{63} = - \frac{163}{63} = - 2 \frac{37}{63} \\ \\ 3)9 \frac{1 {}^{(4} }{6} + ( - 5 \frac{3 {}^{(6} }{4} ) = 9 \frac{4}{24} + ( - 5 \frac{18}{24} ) = 9 \frac{4}{24} - 5 \frac{18}{24} = \frac{220}{24} - \frac{138}{24} = \frac{82}{24} = 3 \frac{10}{24 } = 3 \frac{5}{12}$