Question

Найдите значения суммы: 5/12-1/12; 7/15-11/15; 5/16-1/16; -5/6+2/3; -3/4-4/5; -1/2+1/8.

Answer 1

$\frac{5}{12} - \frac{1}{12} = \frac{5 - 1}{12} = \frac{4}{12} = \frac{1}{3} \\ \\ \frac{7}{15} - \frac{11}{15} = \frac{7 - 11}{15} = - \frac{4}{15} \\ \\ \frac{5}{16} - \frac{1}{16} = \frac{5 - 1}{16} = \frac{4}{16} = \frac{1}{4}$

$- \frac{5}{6} + \frac{2}{3} = \frac{ - 5 + 2 \times 2}{6} = - \frac{1}{6} \\ \\ - \frac{3}{4} - \frac{4}{5} = \frac{ - 3 \times 5 - 4 \times 4}{20} = \frac{ - 15 - 16}{20} = - \frac{31}{20} = - 1 \frac{11}{20} \\ \\ - \frac{1}{2} + \frac{1}{8} = \frac{ - 1 \times 4 + 1}{8} = \frac{ - 3}{8} = - \frac{3}{8}$