Как решить? 11 1/3:((1 11/14-4 5/7)*4 2/3-(-1 5/6+3 2/9)*9/25
Как решить? 11 1/3:((1 11/14-4 5/7)*4 2/3-(-1 5/6+3 2/9)*9/25
Ответ(ы) на вопрос:
[latex]11 \frac{1}{3}:((1 \frac{11}{14}-4 \frac{5}{7})*4 \frac{2}{3}-(-1 \frac{5}{6}+3 \frac{2}{9})* \frac{9}{25})= [/latex][latex]\frac{34}{3}:((\frac{25}{14}-\frac{33}{7})*\frac{14}{3}-(\frac{29}{9}-\frac{11}{6})* \frac{9}{25})=[/latex][latex]\frac{34}{3}:(\frac{25-33*2}{14}*\frac{14}{3}-\frac{29*2-11*3}{18}* \frac{9}{25})=[/latex][latex]\frac{34}{3}:(-\frac{41}{14}*\frac{14}{3}-\frac{25}{18}* \frac{9}{25})=[/latex][latex]\frac{34}{3}:(-\frac{41}{3}-\frac{1}{2})=\frac{34}{3}:(-\frac{85}{6})=\frac{34}{3}*(-\frac{6}{85})=\frac{17*2}{3}*(-\frac{3*2}{17*5})=-\frac{2*2}{5}=[/latex][latex]- \frac{4}{5} [/latex]
1) [latex]1 \frac{11}{14}-4 \frac{5}{7}=\frac{25}{14}-\frac{33}{7}=\frac{25-33*2}{14}=-\frac{41}{14}[/latex]
2) [latex]-1 \frac{5}{6}+3 \frac{2}{9}=\frac{29}{9}-\frac{11}{6}=\frac{29*2-11*3}{18}=\frac{25}{18}[/latex]
3) [latex]-\frac{41}{14}*4 \frac{2}{3}=-\frac{41}{14}*\frac{14}{3}=-\frac{41}{3}[/latex]
4) [latex]\frac{25}{18}*\frac{9}{25}= \frac{9}{18}= \frac{1}{2} [/latex]
5) [latex]-\frac{41}{3}-\frac{1}{2} = -\frac{41*2+1*3}{6}=- \frac{85}{6} [/latex]
6) [latex]11 \frac{1}{3}:(- \frac{85}{6} )=\frac{34}{3}*(-\frac{6}{85})=\frac{17*2}{3}*(-\frac{3*2}{17*5})=-\frac{2*2}{5}=- \frac{4}{5} [/latex]
Не нашли ответ?
Похожие вопросы