Решим данные примеры и уравнения:
420. Найдите значение разности:
а) $$1 - \frac{8}{15} = \frac{15}{15} - \frac{8}{15} = \frac{15-8}{15} = \frac{7}{15}$$
б) $$3 - \frac{2}{11} = \frac{33}{11} - \frac{2}{11} = \frac{33-2}{11} = \frac{31}{11} = 2\frac{9}{11}$$
в) $$4 - 3\frac{4}{9} = 4 - \frac{31}{9} = \frac{36}{9} - \frac{31}{9} = \frac{36-31}{9} = \frac{5}{9}$$
г) $$7\frac{3}{8} - 5 = 2\frac{3}{8}$$
д) $$45 - 44\frac{3}{8} = 45 - \frac{355}{8} = \frac{360}{8} - \frac{355}{8} = \frac{5}{8}$$
е) $$6\frac{7}{15} - 3\frac{1}{5} = 6\frac{7}{15} - 3\frac{3}{15} = 3\frac{4}{15}$$
ж) $$10\frac{3}{23} - 7 = 3\frac{3}{23}$$
з) $$16\frac{2}{5} - 4 = 12\frac{2}{5}$$
и) $$19\frac{5}{12} - 8 = 11\frac{5}{12}$$
421. Решите уравнение:
а) $$1 - k = \frac{3}{5} + \frac{1}{10}$$
$$1 - k = \frac{6}{10} + \frac{1}{10}$$
$$1 - k = \frac{7}{10}$$
$$k = 1 - \frac{7}{10}$$
$$k = \frac{10}{10} - \frac{7}{10}$$
$$k = \frac{3}{10}$$
б) $$t + 1 = \frac{4}{9} + \frac{2}{3}$$
$$t + 1 = \frac{4}{9} + \frac{6}{9}$$
$$t + 1 = \frac{10}{9}$$
$$t = \frac{10}{9} - 1$$
$$t = \frac{10}{9} - \frac{9}{9}$$
$$t = \frac{1}{9}$$