Question

ДАЮ 50 БАЛЛОВ
Упростите выражение
2 2/3(1 1/2a-2 1/4)+1 1/5*(2 1/2a-5/6)
2 1/3(6/7m+3)-1 2/3(3/5m-3)

Answer 1

1)
$2 \frac{2}{3} *(1 \frac{1}{2} a - 2 \frac{1}{4} ) + 1 \frac{1}{5} *(2 \frac{1}{2} a - \frac{5}{6} )= \\ \\ = \frac{8}{3} * \frac{3}{2} *a+ \frac{8}{3} *(- \frac{9}{4} ) + \frac{6}{5} * \frac{3}{2}*a + \frac{6}{5} *(-\frac{5}{6} ) = \\ \\ = \frac{4*1}{1*1} * a - \frac{2*3}{1*1} + \frac{3*3}{5*1} *a - 1 = \\ \\ = 4a - 6 + 1 \frac{1}{5} a - 1 = 5 \frac{1}{5} a - 7 = \\ \\ = 5.2a - 7$

2) 
$2 \frac{1}{3} *( \frac{6}{7} m + 3) - 1 \frac{2}{3} *( \frac{3}{5} m - 3) = \\ \\ = \frac{7}{3} * \frac{6}{7} *m + \frac{7}{3} * \frac{3}{1} - \frac{5}{3} * \frac{3}{5} *m - \frac{5}{3} *(- \frac{3}{1} ) = \\ \\ = 2m + 7 - m + 5 = (2m -m) +(7+5) = \\ \\ = m +12$