Вопрос:

Решите уравнения: 2) 12 1/6 - b = 4 8/15; 3) 1 + y = 3/5 + 6/15; 4) t - 3 5/6 = 7 1/6 - 2 2/3; 5) x : (1 2/3 + 4/9) = 9/38; 6) (8 1/2 - 7 1/4) * x = 5/12

Решите уравнения: 2) 12 1/6 - b = 4 8/15; 3) 1 + y = 3/5 + 6/15; 4) t - 3 5/6 = 7 1/6 - 2 2/3; 5) x : (1 2/3 + 4/9) = 9/38; 6) (8 1/2 - 7 1/4) * x = 5/12
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Ответ ассистента

2) **Ответ: b = 7 \frac{11}{30}** $12 \frac{1}{6} - b = 4 \frac{8}{15}$ $b = 12 \frac{1}{6} - 4 \frac{8}{15}$ $b = 12 \frac{5}{30} - 4 \frac{16}{30}$ $b = 11 \frac{35}{30} - 4 \frac{16}{30}$ $b = 7 \frac{19}{30}$ 3) **Ответ: y = 0** $1 + y = \frac{3}{5} + \frac{6}{15}$ $1 + y = \frac{9}{15} + \frac{6}{15}$ $1 + y = \frac{15}{15}$ $1 + y = 1$ $y = 0$ 4) **Ответ: t = 8 \frac{1}{3}** $t - 3 \frac{5}{6} = 7 \frac{1}{6} - 2 \frac{2}{3}$ $t - 3 \frac{5}{6} = 7 \frac{1}{6} - 2 \frac{4}{6}$ $t - 3 \frac{5}{6} = 6 \frac{7}{6} - 2 \frac{4}{6}$ $t - 3 \frac{5}{6} = 4 \frac{3}{6} = 4 \frac{1}{2}$ $t = 4 \frac{1}{2} + 3 \frac{5}{6}$ $t = 4 \frac{3}{6} + 3 \frac{5}{6}$ $t = 7 \frac{8}{6} = 8 \frac{2}{6} = 8 \frac{1}{3}$ 5) **Ответ: x = \frac{1}{2}** $x : (1 \frac{2}{3} + \frac{4}{9}) = \frac{9}{38}$ $x : (1 \frac{6}{9} + \frac{4}{9}) = \frac{9}{38}$ $x : 1 \frac{10}{9} = \frac{9}{38}$ $x : 2 \frac{1}{9} = \frac{9}{38}$ $x = \frac{9}{38} \cdot 2 \frac{1}{9}$ $x = \frac{9}{38} \cdot \frac{19}{9}$ $x = \frac{1}{2}$ 6) **Ответ: x = \frac{1}{3}** $(8 \frac{1}{2} - 7 \frac{1}{4}) \cdot x = \frac{5}{12}$ $(8 \frac{2}{4} - 7 \frac{1}{4}) \cdot x = \frac{5}{12}$ $1 \frac{1}{4} \cdot x = \frac{5}{12}$ $\frac{5}{4} \cdot x = \frac{5}{12}$ $x = \frac{5}{12} : \frac{5}{4}$ $x = \frac{5}{12} \cdot \frac{4}{5}$ $x = \frac{1}{3}$

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