Вычислить:$$6. \frac{(140\frac{7}{30} - 138\frac{5}{12}) : 18\frac{1}{6}}{0,002}.$$

Вычислить:
$6. \frac{(140\frac{7}{30} - 138\frac{5}{12}) : 18\frac{1}{6}}{0,002}.$

Решение.

6. \frac{(140 \frac{7}{30} - 138 \frac{5}{12}) : 18 \frac{1}{6}}{0, 002} = 50.

$6. \frac{(140\frac{7}{30} - 138\frac{5}{12}) : 18\frac{1}{6}}{0,002} = 50.$

1) 140 \frac{7}{30} - 138 \frac{5}{12} = 140 \frac{14}{60} - 138 \frac{25}{60} = 139 + 1 + \frac{14}{60} - 138 \frac{25}{60} = 139 + \frac{60}{60} + \frac{14}{60} - 138 \frac{25}{60} = 139 - 138 + (\frac{60}{60} + \frac{14}{60} - \frac{25}{60}) = 1 + \frac{60 + 14 - 25}{60} = 1 \frac{49}{60};

$1) 140\frac{7}{30} - 138\frac{5}{12} = 140\frac{14}{60} - 138\frac{25}{60} = 139 + 1 + \frac{14}{60} - 138\frac{25}{60} = 139 + \frac{60}{60} + \frac{14}{60} - 138\frac{25}{60} = 139 - 138 + (\frac{60}{60} + \frac{14}{60} - \frac{25}{60}) = 1 + \frac{60 + 14 - 25}{60} = 1\frac{49}{60};$

2) 1 \frac{49}{60} : 18 \frac{1}{6} = \frac{109}{60} : \frac{109}{6} = \frac{109}{60} \cdot \frac{6}{109} = \frac{109 \cdot 6}{60 \cdot 109} = \frac{1 \cdot 1}{10 \cdot 1} = \frac{1}{10} = 0, 1;

$2) 1\frac{49}{60} : 18\frac{1}{6} = \frac{109}{60} : \frac{109}{6} = \frac{109}{60} \cdot \frac{6}{109} = \frac{109 \cdot 6}{60 \cdot 109} = \frac{1 \cdot 1}{10 \cdot 1} = \frac{1}{10} = 0,1;$

3) 0, 1 : 0, 002 = 100 : 2 = 50.

$3) 0,1 : 0,002 = 100 : 2 = 50.$
Ответ: 50.

« назад

вперед »

Похожие задачи:

Вычислить:6.(140730−138512):18160,002.6.(140730−138512):18160,002.6. \frac{(140\frac{7}{30} - 138\frac{5}{12}) : 18\frac{1}{6}}{0,002}.

Вычислить:
$6. \frac{(140\frac{7}{30} - 138\frac{5}{12}) : 18\frac{1}{6}}{0,002}.$