Question

1)х-24 5/8=30 5/6+41 7/12
даю 30 баллов

Answer 1

$x-24\frac{5}{8} =30\frac{5}{6} +41\frac{7}{12}$

$x-24\frac{5}{8} =30\frac{10}{12} +41\frac{7}{12}$

$x-24\frac{5}{8} =71\frac{17}{12}$

$x-24\frac{5}{8} =72\frac{5}{12}$

$x=72\frac{5}{12} +24\frac{5}{8}$

$x=72\frac{10}{24} +24\frac{15}{24}$

$x=96\frac{25}{24}$

$x=97\frac{1}{24}$

Answer 2

Ответ:

$x - 24\frac{5}{8} = 30 \frac{5}{6} + 41 \frac{7}{12} \\ \\ x - \frac{8 \times 24 + 5}{8} = (30 + 41) + ( \frac{5}{6} + \frac{7}{12} ) \\ \\ x - \frac{197}{8} = 71 + ( \frac{12 \div 6 \times 5}{12} + \frac{7}{12} ) \\ \\ x - \frac{197}{8} = 71 + ( \frac{10}{12} + \frac{7}{12} ) \\ \\ x - \frac{197}{8} = 71 + \frac{17}{12} \\ \\ x - \frac{197}{8} = 71 + 1 \frac{5}{12} \\ \\ x - \frac{197}{8} = 71 + 1 + \frac{5}{12} \\ \\ x - \frac{197}{8} = 72 \frac{5}{12} \\ \\ x - \frac{197}{8} = \frac{12 \times 72 + 5}{12} \\ \\ x - \frac{197}{8} = \frac{869}{12} \\ \\ x = \frac{869}{12} + \frac{197}{8} \\ \\ x = \frac{24 \div 12 \times 869}{24} + \frac{24 \div 8 \times 197}{24} \\ \\ x = \frac{1738}{24} + \frac{591}{24} \\ \\ x = \frac{1738 + 591}{24} \\ \\ x = \frac{2329}{24} \\ \\ x = 2329 \div 24 \\ \\ \boxed{x = 97 \frac{1}{24} }$