Question

Обчисліть:
1) (2 5/12-3 3/8):(-23/48)
2) (-3 3/14-1 2/21):(-5 6/35)
3) (-3 7/9+3 2/15):(1/20-(13/30))
Даю 25 балів

Answer 1

Ответ:

$1) \frac{529}{1152}$

$2) \frac{5}{6}$

$3)1 \frac{47}{69}$

Пошаговое объяснение:

$1)(2 \frac{5}{12} - 3 \frac{3}{8} ) \times ( - \frac{23}{48} ) = ( \frac{29}{12} - \frac{27}{8} ) \times ( - \frac{23}{48} ) = - \frac{23}{24} \times ( - \frac{23}{48} ) = \frac{23}{24} \times \frac{23}{48} = \frac{529}{1152}$

$2)( - 3 \frac{3}{14} - 1 \frac{2}{21} ) \div ( - 5 \frac{6}{35} ) = - (3 \frac{3}{14} + 1\frac{2}{21} ) \div ( - \frac{181}{35} ) = - ((3 + 1) + ( \frac{3}{14} + \frac{2}{21} )) \div ( - \frac{181}{35} ) = - (4 + \frac{13}{42} ) \div ( - \frac{181}{35}) = - 4 \frac{13}{42} \div ( - \frac{181}{35} ) = - \frac{181}{42} \div ( - \frac{181}{35} ) = \frac{181}{42 } \div \frac{181}{35} = \frac{181}{42} \times \frac{35}{181} = \frac{1}{42} \times 35 = \frac{1}{6} \times 5 = \frac{5}{6}$

$3)( - 3 \frac{7}{9} + 3 \frac{2}{15} ) \div ( \frac{1}{20} - ( \frac{13}{30} )) = ( - \frac{34}{9} + \frac{47}{5} ) \div ( \frac{1}{20} - \frac{13}{30} ) = ( - \frac{34}{9} + \frac{47}{15} ) \div ( - \frac{23}{60} ) = - \frac{29}{45} \div ( - \frac{23}{60} ) = \frac{29}{45} \div \frac{23}{60} = \frac{29}{45} \times \frac{60}{23} = \frac{29}{3} \times \frac{4}{23} = \frac{116}{69} = 1 \frac{47}{69}$