Question

Вычислите а) 6 5/6-(2 1/4+5/6) б) 4 3/7 -(1 4/7 -5,5)

Answer 1

6 5/6-(2 1/4+5/6)=6 1/3
4 3/7 -(1 4/7 -5,5)=6,6

Answer 2

А) $6 \frac{5}{6} - (2 \frac{1}{4} + \frac{5}{6} )$
1) $2\frac{1}{4} + \frac{5}{6} = \frac{9}{4} + \frac{5}{6} = \frac{27}{12} + \frac{10}{12} = \frac{37}{12} = 3 \frac{1}{12}$
2) $6 \frac{5}{6} - 3 \frac{1}{12} = \frac{41}{6} - \frac{37}{12} = \frac{82}{12} - \frac{37}{12} = \frac{45}{12} = \frac{15}{4} =3 \frac{3}{4}$
ответ: $3 \frac{3}{4}$

$4 \frac{3}{7} - (1 \frac{4}{7} - 5,5)$
1) $1 \frac{4}{7} - 5,5 = \frac{11}{7} - \frac{55}{10} = \frac{11}{7} - \frac{11}{2} = \frac{22}{14} - \frac{77}{14} = - \frac{55}{14} = -3 \frac{13}{14}$
2) $4 \frac{3}{7} - (-3 \frac{13}{14}) = \frac{31}{7} + \frac{55}{14} = \frac{62}{14} + \frac{55}{14} = \frac{117}{14} = 8 \frac{5}{14}$
ответ: $8 \frac{5}{14}$