Спрости вираз:
Розв'язок:
1) $2{,}7x - 1\frac{1}{2}x + 3\frac{1}{3}x = \left(2\frac{7}{10} - 1\frac{1}{2} + 3\frac{1}{3}\right)x =$
$= 4\frac{21-15+10}{30}x = 4\frac{16}{30}x = 4\frac{8}{15}x$;
2) $-3\frac{1}{3}x + 5\frac{1}{6}y - 2\frac{7}{8}x - 2\frac{7}{12}y =$
$= \left(-3\frac{1}{3} - 2\frac{7}{8}\right)x + \left(5\frac{1}{6} - 2\frac{7}{12}\right)y =$
$= -5\frac{8+21}{24}x + \left(4\frac{7}{6} - 2\frac{7}{12}\right)y =$
$= -5\frac{29}{24}x + 2\frac{14-7}{12}y = -6\frac{5}{24}x + 2\frac{7}{12}y$;
3) $1\frac{4}{7}m - 2\frac{3}{14}m + \frac{17}{42}m =$
$= \left(1\frac{24}{42} - 2\frac{9}{42} + \frac{17}{42}\right)m = -\frac{10}{42}m = -\frac{5}{21}m$;
4) $-2\frac{5}{9}p + 1\frac{4}{9}b + 4\frac{7}{18}p - 3\frac{11}{27}b =$
$= \left(4\frac{7}{18} - 2\frac{10}{18}\right)p + \left(1\frac{12}{27} - 3\frac{11}{27}\right)b =$
$= \left(3\frac{25}{18} - 2\frac{10}{18}\right)p + \left(-\left(2\frac{38}{27} - 1\frac{12}{27}\right)\right)b =$
$= 1\frac{15}{18}p - 1\frac{26}{27}b = 1\frac{5}{6}p - 1\frac{26}{27}b$.