1707. Найти неизвестный член в отношениях: 1) x:6=\frac{2}{3} 2) x:18=\frac{7}{12} 3) x:0,75 =3,2 4) x:0,125 =\frac{3}{8} 5) x:2=2\frac{1}{3} 6) x:\frac{5}{6}=0,042

Ответ:

1. \[x:6=\frac{2}{3}\]

   \[\frac{x}{6} = \frac{2}{3}\]

   \[x = \frac{2 \cdot 6}{3}\]

   \[x = \frac{12}{3}\]

   \[x = 4\]

   Ответ: 4

2. \[x:18=\frac{7}{12}\]

   \[\frac{x}{18} = \frac{7}{12}\]

   \[x = \frac{7 \cdot 18}{12}\]

   \[x = \frac{126}{12}\]

   \[x = 10,5\]

   Ответ: 10,5

3. \[x:0,75 =3,2\]

   \[\frac{x}{0,75} = 3,2\]

   \[x = 3,2 \cdot 0,75\]

   \[x = 2,4\]

   Ответ: 2,4

4. \[x:0,125 =\frac{3}{8}\]

   \[\frac{x}{0,125} = \frac{3}{8}\]

   \[x = \frac{3}{8} \cdot 0,125\]

   \[x = \frac{3}{8} \cdot \frac{1}{8}\]

   \[x = \frac{3}{64}\]

   Ответ: 3/64

5. \[x:2=2\frac{1}{3}\]

   \[\frac{x}{2} = \frac{7}{3}\]

   \[x = \frac{7}{3} \cdot 2\]

   \[x = \frac{14}{3}\]

   \[x = 4\frac{2}{3}\]

   Ответ: 4 2/3

6. \[x:\frac{5}{6}=0,042\]

   \[\frac{x}{\frac{5}{6}} = 0,042\]

   \[x = 0,042 \cdot \frac{5}{6}\]

   \[x = \frac{0,042 \cdot 5}{6}\]

   \[x = \frac{0,21}{6}\]

   \[x = 0,035\]

   Ответ: 0,035

Ответ: