Найдите неизвестный член пропроции: 1 целая 5/12:5 целых 2/3 = (2/3х) : 24

[latex] \frac{1 \frac{5}{12}}{5 \frac{2}{3}}= \frac{ \frac{2}{3}x}{24} [/latex] [latex]1 \frac{5}{12}*24= 5 \frac{2}{3}* \frac{2}{3}x [/latex] [latex]\frac{17*24}{12}= \frac{17*2}{3*3}x [/latex] [latex]x= \frac{17*24}{12}:\frac{17*2}{3*3}[/latex] [latex]x= \frac{17*24}{12}*\frac{3*3}{17*2}[/latex] x=3*3 x=9 Проверка: [latex]\frac{1 \frac{5}{12}}{5 \frac{2}{3}}= \frac{ \frac{2}{3}*9}{24} [/latex] [latex]\frac{\frac{17}{12}}{\frac{17}{3}}= \frac{2*3}{24}[/latex] [latex]\frac{17}{12}:{\frac{17}{3}}= \frac{1}{4}[/latex] [latex]\frac{17}{12}*{\frac{3}{17}}= \frac{1}{4}[/latex] [latex]\frac{1}{4}= \frac{1}{4}[/latex]