Question

Выполните действия: а)(2/15 : 7/12) * 30/43 - 2 1/2 * 5/32 =? Помогите пожалуйста:)

Answer 1

$1) \frac{2}{15}/ \frac{7}{12} = \frac{2*12}{15*7} = \frac{24}{105} , 2) \frac{24}{105} * \frac{30}{43} = \frac{24*30}{105*43} = \frac{720}{4515} = \frac{48}{301}, 3) \frac{5}{2} * \frac{5}{32} = \frac{25}{64},$
$\frac{48}{301} - \frac{25}{64} = \frac{3072-7525}{19264} = -\frac{4453}{19264}$

Answer 2

$( \frac{2}{15}: \frac{7}{12} )\cdot \frac{30}{43} -2 \frac{1}{2} \cdot \frac{5}{32}= ( \frac{2}{15} \cdot \frac{12}{7} )\cdot \frac{30}{43} -\frac{5}{2} \cdot \frac{5}{32}= \\\\ = ( \frac{2}{5} \cdot \frac{4}{7} )\cdot \frac{30}{43} -\frac{25}{64} = \frac{8}{35} \cdot \frac{30}{43} -\frac{25}{64}=\frac{8}{7} \cdot \frac{6}{43} -\frac{25}{64}= \frac{48}{301} -\frac{25}{64}=\\\\ = \frac{3072-7525}{19264} =- \frac{4453}{19264}$