Номер 937 938 решите пж. Дам лучший ответ и спасибо!
Номер 937 938 решите пж. Дам лучший ответ и спасибо!
Ответ(ы) на вопрос:
Гость
937.
а) [latex](\frac{1}{2}:\frac{3}{4}-\frac{4}{9}):\frac{3}{5}[/latex] = [latex](\frac{1}{2}*\frac{4}{3}-\frac{4}{9})*\frac{5}{3}[/latex] = [latex](\frac{2}{3}-\frac{4}{9})*\frac{5}{3}[/latex] = [latex](\frac{6}{9}-\frac{4}{9})*\frac{5}{3}[/latex] = [latex]\frac{2}{9}*\frac{5}{3}[/latex] = [latex]\frac{10}{27};[/latex]
б) [latex]\frac{1}{2}:\frac{3}{8}-\frac{4}{9}:\frac{3}{5}[/latex] = [latex]\frac{1}{2}*\frac{8}{3}-\frac{4}{9}*\frac{5}{3}[/latex] = [latex]\frac{4}{3}-\frac{20}{27}[/latex] = [latex]\frac{36}{27}-\frac{20}{27}[/latex] = [latex]\frac{16}{27};[/latex]
в) [latex]\frac{3}{5}:(\frac{9}{10}-\frac{3}{5}*\frac{8}{9})[/latex] = [latex]\frac{3}{5}:(\frac{9}{10}-\frac{1}{5}*\frac{8}{3})[/latex] = [latex]\frac{3}{5}:(\frac{9}{10}-\frac{8}{15})[/latex] = [latex]\frac{3}{5}:(\frac{27}{30}-\frac{16}{30})[/latex] = [latex]\frac{3}{5}:\frac{11}{30}[/latex] = [latex]\frac{3}{5}*\frac{30}{11}[/latex] = [latex]\frac{3}{1}*\frac{6}{11}[/latex] = [latex]\frac{18}{11}[/latex] = [latex]1\frac{7}{11};[/latex]
г) [latex]\frac{3}{5}:\frac{9}{10}-\frac{3}{5}*\frac{8}{9}[/latex] = [latex]\frac{3}{5}*\frac{10}{9}-\frac{3}{5}*\frac{8}{9}[/latex] = [latex]\frac{3}{5}(\frac{10}{9}-\frac{8}{9})[/latex] = [latex]\frac{3}{5}*\frac{2}{9}[/latex] = [latex]\frac{1}{5}*\frac{2}{3}[/latex] = [latex]\frac{2}{15}.[/latex]
938.
а) [latex]4*\frac{1}{5}+4*\frac{3}{7}-4*\frac{1}{35}[/latex] = [latex]4(\frac{1}{5}+\frac{3}{7}-\frac{1}{35})[/latex] = [latex]4(\frac{7}{35}+\frac{15}{35}-\frac{1}{35})[/latex] = [latex]4*\frac{21}{35}[/latex] = [latex]4*\frac{21:7}{35:7}[/latex] = [latex]4*\frac{3}{5}[/latex] = [latex]\frac{12}{5}[/latex] = [latex]2\frac{2}{5};[/latex]
б) [latex]\frac{3}{8}*5+\frac{5}{56}-\frac{1}{7}:\frac{1}{5}[/latex] = [latex]\frac{3}{8}*5+\frac{5}{56}-\frac{1}{7}*5[/latex] = [latex]5(\frac{3}{8}-\frac{1}{7})+\frac{5}{56}[/latex] = [latex]5(\frac{21}{56}-\frac{8}{56})+\frac{5}{56}[/latex] = [latex]5*\frac{13}{56}+\frac{5}{56}[/latex] = [latex]\frac{65}{56}+\frac{5}{56}[/latex] = [latex]\frac{70}{56}[/latex] = [latex]1\frac{14}{56}[/latex] = [latex]1\frac{1}{4};[/latex]
в) [latex]\frac{3}{2}*\frac{5}{6}+\frac{3}{2}:\frac{9}{10}-\frac{3}{2}*\frac{13}{18}[/latex] = [latex]\frac{3}{2}*\frac{5}{6}+\frac{3}{2}*\frac{10}{9}-\frac{3}{2}*\frac{13}{18}[/latex] = [latex]\frac{3}{2}(\frac{5}{6}+\frac{10}{9}-\frac{13}{18})[/latex] = [latex]\frac{3}{2}(\frac{15}{18}+\frac{20}{18}-\frac{13}{18})[/latex] = [latex]\frac{3}{2}*\frac{22}{18}[/latex] = [latex]\frac{3}{1}*\frac{11}{18}[/latex] = [latex]\frac{1}{1}*\frac{11}{6}[/latex] = [latex]\frac{11}{6}[/latex] = [latex]1\frac{5}{6};[/latex]
г) [latex]\frac{4}{5}:\frac{5}{8}-\frac{4}{5}*\frac{24}{25}+\frac{1}{25}:\frac{5}{4}[/latex] = [latex]\frac{4}{5}*\frac{8}{5}-\frac{4}{5}*\frac{24}{25}+\frac{1}{25}*\frac{4}{5}[/latex] = [latex]\frac{4}{5}(\frac{8}{5}-\frac{24}{25}+\frac{1}{25})[/latex] = [latex]\frac{4}{5}(\frac{40}{25}-\frac{24}{25}+\frac{1}{25})[/latex] = [latex]\frac{4}{5}*\frac{17}{25}[/latex] = [latex]\frac{68}{125}.[/latex]
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