Вопрос:
40. Вычислите и заполните ответ: 1/6 + 1/27; 7/8 + 1/2; 1/9 − 1/27; 5/26 + 1/6; 2/7 + 7/9; 1/2 − 1/8; 22/49 − 2/7; 5/7 − 1/2; 2/9 − 2/7; 1/10 − 1/11; 1/2 + 1/8; 1/12 + 1/3; 2/8 + 1/6; 6/6 − 2/6; 7/8 − 1/2; 1/8 + 1/7; 8/6 − 2/6; 8/6 + 7/6.
Ответ:
- \(\frac{1}{6}+\frac{1}{27}=\frac{9+2}{54}=\frac{11}{54}\).
- \(\frac{7}{8}+\frac{1}{2}=\frac{7}{8}+\frac{4}{8}=\frac{11}{8}=1\frac{3}{8}\).
- \(\frac{1}{9}-\frac{1}{27}=\frac{3-1}{27}=\frac{2}{27}\).
- \(\frac{5}{26}+\frac{1}{6}=\frac{15+13}{78}=\frac{14}{39}\).
- \(\frac{2}{7}+\frac{7}{9}=\frac{18+49}{63}=\frac{67}{63}=1\frac{4}{63}\).
- \(\frac{1}{2}-\frac{1}{8}=\frac{3}{8}\).
- \(\frac{22}{49}-\frac{2}{7}=\frac{22-14}{49}=\frac{8}{49}\).
- \(\frac{5}{7}-\frac{1}{2}=\frac{10-7}{14}=\frac{3}{14}\).
- \(\frac{2}{9}-\frac{2}{7}=\frac{14-18}{63}=-\frac{4}{63}\).
- \(\frac{1}{10}-\frac{1}{11}=\frac{1}{110}\).
- \(\frac{1}{2}+\frac{1}{8}=\frac{5}{8}\).
- \(\frac{1}{12}+\frac{1}{3}=\frac{1+4}{12}=\frac{5}{12}\).
- \(\frac{2}{8}+\frac{1}{6}=\frac{1}{4}+\frac{1}{6}=\frac{5}{12}\).
- \(\frac{6}{6}-\frac{2}{6}=\frac{4}{6}=\frac{2}{3}\).
- \(\frac{7}{8}-\frac{1}{2}=\frac{7-4}{8}=\frac{3}{8}\).
- \(\frac{1}{8}+\frac{1}{7}=\frac{7+8}{56}=\frac{15}{56}\).
- \(\frac{8}{6}-\frac{2}{6}=\frac{6}{6}=1\).
- \(\frac{8}{6}+\frac{7}{6}=\frac{15}{6}=2\frac{1}{2}\).