Question

Решить уравнения 2 целых 1/3 k=4 целых 1/2 умножить на 1 целую 1/9: 8 целых 1/2 умножить на m= 3 целых 2/3 умножить на 1 целую 1/11; y поделить на 4/5= 3 целых 1/8: 1 целую 1/4; z: 3/14= 3 целых 1/9: 4/9

Answer 1

$2\tt\displaystyle\frac{1}{3}k=4\frac{1}{2}*1\frac{1}{9}\\\\ \\2\frac{1}{3}k=\frac{9}{2}*\frac{10}{9}\\\\ \\2\frac{1}{3}k=5\\\\ \\k=5:\frac{7}{3}\\\\ \\k=5*\frac{3}{7}\\\\ \\k=\frac{15}{7}=2\frac{1}{7}$

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$8\tt\displaystyle\frac{1}{2}m=3\frac{2}{3}*1\frac{1}{11}\\\\ \\8\frac{1}{2}m=\frac{11}{3}*\frac{12}{11}\\\\ \\8\frac{1}{2}m=4\\\\ \\m=4:\frac{17}{2}\\\\ \\ m=4*\frac{2}{17}\\\\ \\ m=\frac{8}{17}$

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$y:\tt\displaystyle\frac{4}{5}=3\frac{1}{8}:1\frac{1}{4}\\\\ \\1\frac{1}{4}y=\frac{4}{5}*3\frac{1}{8}\\\\ \\ \frac{5}{4}y=\frac{4}{5}*\frac{25}{8}\\\\ \\\frac{5}{4}y=\frac{5}{2}\\\\\\y=\frac{5}{2}:\frac{5}{4}\\\\ \\y=\frac{5}{2}*\frac{4}{5}\\\\ \\y=2$

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$z:\tt\displaystyle\frac{3}{14}=3\frac{1}{9}:\frac{4}{9}\\\\ \\\frac{4}{9}z=\frac{3}{14}*3\frac{1}{9}\\\\ \\\frac{4}{9}z=\frac{3}{14}*\frac{28}{9}\\\\ \\\frac{4}{9}z=\frac{2}{3}\\\\ \\z=\frac{2}{3}:\frac{4}{9}\\\\ \\z=\frac{2}{3}*\frac{9}{4}\\\\ \\z=\frac{3}{2}=1\frac{1}{2}$