Вычислите, используя законы умножения:
а) $48 * \frac{5}{17} + 48 * \frac{12}{17}$;
б) $55 * \frac{7}{11} - 55 * \frac{6}{11}$;
в) $\frac{11}{13} * \frac{11}{15} + \frac{11}{13} * \frac{2}{15}$;
г) $\frac{12}{19} * \frac{23}{15} - \frac{12}{19} * \frac{4}{15}$;
д) $\frac{22}{21} * \frac{5}{14} + \frac{20}{21} * \frac{5}{14}$;
е) $\frac{47}{11} * \frac{1}{2} - \frac{25}{11} * \frac{1}{2}$.
$48 * \frac{5}{17} + 48 * \frac{12}{17} = 48 * (\frac{5}{17} + \frac{12}{17}) = 48 * \frac{17}{17} = 48 * 1 = 48$
$55 * \frac{7}{11} - 55 * \frac{6}{11} = 55 * (\frac{7}{11} - \frac{6}{11}) = 55 * \frac{1}{11} = 5$
$\frac{11}{13} * \frac{11}{15} + \frac{11}{13} * \frac{2}{15} = \frac{11}{13} * (\frac{11}{15} + \frac{2}{15}) = \frac{11}{13} * \frac{13}{15} = \frac{11}{1} * \frac{1}{15} = \frac{11}{15}$
$\frac{12}{19} * \frac{23}{15} - \frac{12}{19} * \frac{4}{15} = \frac{12}{19} * (\frac{23}{15} - \frac{4}{15}) = \frac{12}{19} * \frac{19}{15} = \frac{4}{1} * \frac{1}{5} = \frac{4}{5}$
$\frac{22}{21} * \frac{5}{14} + \frac{20}{21} * \frac{5}{14} = \frac{5}{14} * (\frac{22}{21} + \frac{20}{21}) = \frac{5}{14} * \frac{42}{21} = \frac{5}{14} * \frac{2}{1} = \frac{5}{7}$
$\frac{47}{11} * \frac{1}{2} - \frac{25}{11} * \frac{1}{2} = \frac{1}{2} * (\frac{47}{11} - \frac{25}{11}) = \frac{1}{2} * \frac{22}{11} = \frac{1}{2} * \frac{2}{1} = 1$
Пожаулйста, оцените решение
