Вычислите, используя законы умножения:
а) $(54 * \frac{13}{14}) * \frac{7}{13}$;
б) $(46 * \frac{2}{15}) * \frac{15}{23}$;
в) $(\frac{12}{13} * \frac{14}{17}) * (\frac{17}{14} * \frac{13}{24})$;
г) $(\frac{5}{16} * \frac{13}{18}) * (\frac{18}{26} * \frac{16}{25})$;
д) $\frac{21}{22} * (\frac{22}{23} * \frac{24}{25}) * \frac{23}{24}$;
е) $\frac{32}{33} * \frac{52}{53} * (\frac{53}{52} * \frac{33}{34})$.
$(54 * \frac{13}{14}) * \frac{7}{13} = 54 * (\frac{13}{14} * \frac{7}{13}) = 54 * (\frac{1}{2} * \frac{1}{1}) = 54 * \frac{1}{2} = 27$
$(46 * \frac{2}{15}) * \frac{15}{23} = 46 * (\frac{2}{15} * \frac{15}{23}) = 46 * (\frac{2}{1} * \frac{1}{23}) = 46 * \frac{2}{23} = 2 * \frac{2}{1} = 4$
$(\frac{12}{13} * \frac{14}{17}) * (\frac{17}{14} * \frac{13}{24}) = (\frac{12}{13} * \frac{13}{24}) * (\frac{17}{14} * \frac{14}{17}) = (\frac{1}{1} * \frac{1}{2}) * (\frac{1}{1} * \frac{1}{1}) = \frac{1}{2}$
$(\frac{5}{16} * \frac{13}{18}) * (\frac{18}{26} * \frac{16}{25}) = (\frac{5}{16} * \frac{16}{25}) * (\frac{18}{26} * \frac{13}{18}) = (\frac{1}{1} * \frac{1}{5}) * (\frac{1}{2} * \frac{1}{1}) = \frac{1}{5} * \frac{1}{2} = \frac{1}{10}$
$\frac{21}{22} * (\frac{22}{23} * \frac{24}{25}) * \frac{23}{24} = (\frac{21}{22} * \frac{22}{23}) * (\frac{24}{25} * \frac{23}{24}) = (\frac{21}{1} * \frac{1}{23}) * (\frac{1}{25} * \frac{23}{1}) = \frac{21}{23} * \frac{23}{25} = \frac{21}{1} * \frac{1}{25} = \frac{21}{25}$
$\frac{32}{33} * \frac{52}{53} * (\frac{53}{52} * \frac{33}{34}) = (\frac{32}{33} * \frac{33}{34}) * (\frac{52}{53} * \frac{53}{52}) = (\frac{16}{1} * \frac{1}{17}) * (\frac{1}{1} * \frac{1}{1}) = \frac{16}{17}$
Пожауйста, оцените решение
