12. Вычислите:
- A) \( \frac{1}{2} + \frac{1}{4} + \frac{1}{8} = \frac{4+2+1}{8} = \frac{7}{8} \)
- Д) \( \frac{1}{3} + \frac{1}{5} + \frac{1}{15} = \frac{5+3+1}{15} = \frac{9}{15} = \frac{3}{5} \)
- 3) \( \frac{2}{3} + \frac{1}{2} + \frac{1}{7} = \frac{28+21+6}{42} = \frac{55}{42} = 1 \frac{13}{42} \)
- Л) \( 4 \frac{15}{49} - 2 \frac{3}{14} = \frac{15}{49} - \frac{3}{14} = \frac{30-21}{98} = \frac{9}{98} \)
- П) \( 4 \frac{3}{14} - \frac{2}{7} = \frac{3}{14} - \frac{4}{14} = -\frac{1}{14} \)
- Б) \( \frac{1}{2} + \frac{1}{3} + \frac{1}{6} = \frac{3+2+1}{6} = \frac{6}{6} = 1 \)
- Е) \( \frac{1}{2} + \frac{3}{7} + \frac{5}{14} = \frac{7+6+5}{14} = \frac{18}{14} = \frac{9}{7} = 1 \frac{2}{7} \)
- И) \( \frac{3}{4} + \frac{11}{12} + \frac{4}{5} = \frac{45+55+48}{60} = \frac{148}{60} = \frac{37}{15} = 2 \frac{7}{15} \)
- M) \( 5 \frac{7}{12} - 2 \frac{2}{15} = 3 \frac{7 \times 5 - 2 \times 4}{60} = 3 \frac{35-8}{60} = 3 \frac{27}{60} = 3 \frac{9}{20} \)
- Р) \( 3 \frac{13}{44} - 1 \frac{7}{33} = 2 \frac{13}{44} - \frac{7}{33} = 2 \frac{39-28}{132} = 2 \frac{11}{132} = 2 \frac{1}{12} \)
- В) \( \frac{1}{3} + \frac{1}{4} + \frac{1}{2} = \frac{4+3+6}{12} = \frac{13}{12} = 1 \frac{1}{12} \)
- Е) \( \frac{1}{3} + \frac{5}{4} + \frac{5}{7} = \frac{28+105+60}{84} = \frac{193}{84} = 2 \frac{25}{84} \)
- Й) \( \frac{5}{12} + \frac{3}{25} + \frac{1}{7} = \frac{175+36+100}{300} = \frac{311}{300} = 1 \frac{11}{300} \)
- Н) \( 5 \frac{2}{15} - 2 \frac{7}{12} = 3 \frac{2}{15} - \frac{7}{12} = 3 \frac{8-35}{60} = 3 \frac{-27}{60} = 3 - \frac{27}{60} = 2 \frac{33}{60} = 2 \frac{11}{20} \)
- С) \( 9 \frac{11}{60} - 3 \frac{13}{80} = 6 \frac{11}{60} - \frac{13}{80} = 6 \frac{44-39}{240} = 6 \frac{5}{240} = 6 \frac{1}{48} \)
- Г) \( \frac{1}{3} + \frac{1}{4} + \frac{1}{12} = \frac{4+3+1}{12} = \frac{8}{12} = \frac{2}{3} \)
- Ж) \( \frac{1}{4} + \frac{1}{3} + \frac{1}{5} = \frac{15+20+12}{60} = \frac{47}{60} \)
- К) \( \frac{7}{8} + \frac{15}{16} + \frac{15}{16} = \frac{14+30+30}{32} = \frac{74}{32} = \frac{37}{16} = 2 \frac{5}{16} \)
- О) \( 4 \frac{11}{14} - 2 \frac{3}{7} = 2 \frac{11}{14} - \frac{6}{14} = 2 \frac{5}{14} \)
- Т) \( 2 \frac{3}{5} - 1 \frac{6}{7} = 1 \frac{3}{5} - \frac{6}{7} = 1 \frac{21-30}{35} = 1 - \frac{9}{35} = \frac{26}{35} \)
Ответ: А) 7/8; Д) 3/5; 3) 1 13/42; Л) 9/98; П) -1/14; Б) 1; Е) 1 2/7; И) 2 7/15; M) 3 9/20; Р) 2 1/12; В) 1 1/12; Е) 2 25/84; Й) 1 11/300; Н) 2 11/20; С) 6 1/48; Г) 2/3; Ж) 47/60; К) 2 5/16; О) 2 5/14; Т) 26/35.