Обчисли значення виразу:
Розв'язок:
1) $-3\frac{5}{9} + 7\frac{1}{6} = 7\frac{1}{6} - 3\frac{5}{9} =$
$= 6\frac{7}{6} - 3\frac{5}{9} = 3\frac{21-10}{18} = 3\frac{11}{18}$;
2) $7\frac{2}{9} + \left(-2\frac{3}{4}\right) = 7\frac{2}{9} - 2\frac{3}{4} =$
$= 6\frac{11}{9} - 2\frac{3}{4} = 4\frac{44-27}{36} = 4\frac{17}{36}$;
3) $-4\frac{5}{6} + \left(-5\frac{3}{5}\right) = -9\frac{25+18}{30} =$
$= -9\frac{43}{30} = -10\frac{13}{30}$;
4) $-7\frac{3}{8} + 4\frac{7}{10} = -\left(7\frac{3}{8} - 4\frac{7}{10}\right) =$
$= -\left(6\frac{11}{8} - 4\frac{7}{10}\right) =$
$= -2\frac{55-28}{40} = -2\frac{27}{40}$;
5) $-10 + 8\frac{7}{13} = -\left(10 - 8\frac{7}{13}\right) =$
$= -\left(9\frac{13}{13} - 8\frac{7}{13}\right) = -1\frac{6}{13}$;
6) $7\frac{5}{9} + \left(-6\frac{11}{12}\right) = 7\frac{5}{9} - 6\frac{11}{12} =$
$= 6\frac{14}{9} - 6\frac{11}{12} = \frac{56-33}{36} = \frac{23}{36}$;
7) $-\frac{3}{4} + 3{,}6 = -0{,}75 + 3{,}6 =$
$= 3{,}6 - 0{,}75 = 2{,}85$;
8) $2{,}05 + \left(-3\frac{2}{5}\right) = 2{,}05 + (-3{,}4) =$
$= -(3{,}4 - 2{,}05) = -1{,}35$;
9) $-0{,}45 + \left(-2\frac{1}{4}\right) =$
$= -0{,}45 + (-2{,}25) = -2{,}7$;
10) $-0{,}4 + 1\frac{4}{15} = -\frac{2}{5} + 1\frac{4}{15} =$
$= \frac{19}{15} - \frac{6}{15} = \frac{13}{15}$;
11) $4\frac{2}{3} + (-5{,}1) = 4\frac{2}{3} + \left(-5\frac{1}{10}\right) =$
$= -\left(5\frac{1}{10} - 4\frac{2}{3}\right) = -\left(4\frac{11}{10} - 4\frac{2}{3}\right) =$
$= -\frac{33-20}{30} = -\frac{13}{30}$;
12) $2\frac{1}{6} + (-1{,}12) = 2\frac{1}{6} + \left(-1\frac{3}{25}\right) =$
$= 2\frac{1}{6} - 1\frac{3}{25} = 1\frac{25-18}{150} = 1\frac{7}{150}$.