Знайди значення виразу:
Розв'язок:
1) $3\frac{1}{8} + 9\frac{1}{12} - 6\frac{5}{6} =$
$= 12\frac{3+2}{24} - 6\frac{5}{6} = 12\frac{5}{24} - 6\frac{5}{6} =$
$= 11\frac{29}{24} - 6\frac{5}{6} = 5\frac{29-20}{24} =$
$= 5\frac{9}{24} = 5\frac{3}{8}$;
2) $5\frac{3}{5} + 4\frac{11}{15} - 8\frac{1}{12} =$
$= 1\frac{36+44-5}{60} = 1\frac{75}{60} =$
$= 1\frac{5}{4} = 2\frac{1}{4}$;
3) $3\frac{9}{10} - 1\frac{5}{12} - 1\frac{11}{24} =$
$= 1\frac{108-50-55}{120} = 1\frac{3}{120} = 1\frac{1}{40}$;
4) $13\frac{5}{6} - 8\frac{1}{4} - 5\frac{1}{3} =$
$= \frac{10-3-4}{12} = \frac{3}{12} = \frac{1}{4}$;
5) $7\frac{3}{8} - \left(4\frac{5}{6} + 1\frac{3}{4}\right) =$
$= 7\frac{3}{8} - 5\frac{10+9}{12} = 7\frac{3}{8} - 5\frac{19}{12} =$
$= 6\frac{11}{8} - 6\frac{7}{12} = \frac{33-14}{24} = \frac{19}{24}$;
6) $12 - \left(5\frac{5}{6} + 3\frac{3}{10}\right) =$
$= 12 - 8\frac{25+9}{30} = 12 - 8\frac{34}{30} =$
$= 12 - 8\frac{17}{15} = 12 - 9\frac{2}{15} =$
$= 11\frac{15}{15} - 9\frac{2}{15} = 2\frac{13}{15}$.