Question

N539 НАЙДИТЕ ЗНАЧЕНИЕ ВЫРАЖЕНИЯ,КОТОРОЕ ПРЕДСТАВЛЯЕТ СОБОЙ
СРОЧНО ДАМ 10БАЛЛОВ​

Answer 1

Ответ:

1)

$(3\frac{1}{7} + 2\frac{1}{3}) \div 3\frac{2}{7} =( \frac{22}{7} + \frac{7}{3} ) \div \frac{23}{7} = ( \frac{66 + 49}{21} ) \div \frac{23}{7} = \frac{115}{21} \div \frac{23}{7} = \frac{115}{21} \times \frac{7}{23} = \frac{5}{3} = 1\frac{2}{3}$

2)

$3 \frac{1}{13} \times ( \frac{2}{9} + 1\frac{4}{5} )= 3 \frac{1}{13} \times ( \frac{2}{9} + \frac{9}{5} ) = 3 \frac{1}{13} \times ( \frac{10 + 81}{45} ) = \frac{40}{13} \times \frac{91}{45} = \frac{56}{9} = 6\frac{2}{9}$

3)

$(13 \frac{7}{12} - 10 \frac{2}{3} ) \div 2 \frac{1}{2} = (3 \frac{7 - 8}{12} ) \div \frac{5}{2} = - 3 \frac{1}{12} \div \frac{5}{2} = - \frac{37}{12} \times \frac{2}{5} = - \frac{37}{30} = - 1 \frac{7}{30}$

4)

$5 \frac{13}{20} \div (8 \frac{2}{15} - \frac{3}{5} ) = \frac{113}{20} \div (8 \frac{2 - 9}{15}) = \frac{113}{20} \div( - 8 \frac{7}{15} ) = \frac{113}{20} \times (- \frac{15}{127} ) = - \frac{339}{508}$