Question

Найдите значение выражения: 1).4 1/5: 7/15: 1/3; 2).4 1/5: (7/15: 1/3); 8/9: 1 17: 36+1 1/4): 4 1/5;

Answer 1

1)$4 \frac{1}{5}: \frac{7}{15} : \frac{1}{3} = \frac{21}{5} * \frac{15}{7} * 3 = 27$
2) $4 \frac{1}{5} : ( \frac{7}{15}: \frac{1}{3} ) = \frac{21}{5} :( \frac{7}{15} * 3 ) = \frac{21}{5} * \frac{5}{7} = 3$
3) $(5 \frac{8}{9}: 1 \frac{17}{36} + 1 \frac{1}{4} ) : 4 \frac{1}{5} = ( \frac{53}{9}* \frac{36}{53}+ \frac{5}{4} ) * \frac{5}{21} = 4\frac{5}{4} * \frac{5}{21} = \frac{21}{4} * \frac{5}{21} =\\ \\ = \frac{5}{4} = 1 \frac{1}{4}$