Выполните действия: А) 3/8 : 5/12- 3 1/2 * 2/5+ 1 : 3 1/3 Б)1 1/4 *(-2 2/3)+ 4/5 * 2 11/12- 1 1/6 : 21/22 В)3/4 : (1/14 - 5/7) + (5/6 -7/12) * 6 2/3 Распишите по действиям.
Выполните действия:
А) 3/8 : 5/12- 3 1/2 * 2/5+ 1 : 3 1/3
Б)1 1/4 *(-2 2/3)+ 4/5 * 2 11/12- 1 1/6 : 21/22
В)3/4 : (1/14 - 5/7) + (5/6 -7/12) * 6 2/3
Распишите по действиям.
Ответ(ы) на вопрос:
Гость
a)
[latex] \frac{3}{8} : \frac{5}{12} - 3 \frac{1}{2} * \frac{2}{5} + 1 : 3 \frac{1}{3}=- \frac{1}{5}[/latex]
1) [latex] \frac{3}{8} : \frac{5}{12} = \frac{3}{8} * \frac{12}{5}= \frac{9}{10} [/latex]
2) [latex]3 \frac{1}{2} * \frac{2}{5} = \frac{7}{2} * \frac{2}{5}= \frac{14}{10} =1 \frac{4}{10}=1 \frac{2}{5} [/latex]
3) [latex] 1 : 3 \frac{1}{3}= 1: \frac{10}{3} =1* \frac{3}{10} = \frac{3}{10} [/latex]
4) [latex] \frac{9}{10}-1 \frac{2}{5} = \frac{9}{10}-1 \frac{4}{10} = - \frac{5}{10} =- \frac{1}{2} [/latex]
5) [latex]- \frac{5}{10} + \frac{3}{10} =- \frac{2}{10} =- \frac{1}{5} [/latex]
б)
[latex]1 \frac{1}{4} *(-2 \frac{2}{3} )+ \frac{4}{5} * 2 \frac{11}{12} - 1 \frac{1}{6} : \frac{21}{22}=-2 \frac{2}{9}[/latex]
1) [latex]1 \frac{1}{4} *(-2 \frac{2}{3} )= \frac{5}{4}*(- \frac{8}{3})=- \frac{10}{3} =-3 \frac{1}{3} [/latex]
2) [latex] \frac{4}{5} * 2 \frac{11}{12}= \frac{4}{5} * \frac{35}{12}= \frac{7}{3}=2 \frac{1}{3} [/latex]
3) [latex]1 \frac{1}{6} : \frac{21}{22}= \frac{7}{6} * \frac{22}{21} = \frac{11}{9} =1 \frac{2}{9} [/latex]
4) [latex]-3 \frac{1}{3}+2 \frac{1}{3}=-1 [/latex]
5) [latex]-1-1 \frac{2}{9}=-2 \frac{2}{9} [/latex]
в)
[latex] \frac{3}{4} : ( \frac{1}{14} - \frac{5}{7} ) + ( \frac{5}{6} - \frac{7}{12} ) * 6 \frac{2}{3} =\frac{1}{2}[/latex]
1) [latex] \frac{1}{14} - \frac{5}{7}= \frac{1}{14}- \frac{10}{14} =- \frac{9}{14} [/latex]
2) [latex] \frac{5}{6} - \frac{7}{12}= \frac{10}{12} - \frac{7}{12} = \frac{3}{12} = \frac{1}{4} [/latex]
3) [latex] \frac{3}{4} : (- \frac{9}{14} )=- \frac{3}{4} * \frac{14}{9} =- \frac{7}{6}=-1 \frac{1}{6} [/latex]
4) [latex]\frac{1}{4} * 6 \frac{2}{3} = \frac{1}{4}* \frac{20}{3} = \frac{5}{3} =1 \frac{2}{3} [/latex]
5) [latex]-1 \frac{1}{6} +1 \frac{2}{3} =-1 \frac{1}{6} +1 \frac{4}{6} = \frac{3}{6} = \frac{1}{2} [/latex]
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