Вычислить:$$ \frac{215\frac{9}{16} - 208\frac{3}{4} + \frac{1}{2}}{0,0001 : 0,005}.$$

Вычислить:
$\frac{215\frac{9}{16} - 208\frac{3}{4} + \frac{1}{2}}{0,0001 : 0,005}.$

Решение.

\frac{215 \frac{9}{16} - 208 \frac{3}{4} + \frac{1}{2}}{0, 0001 : 0, 005} = 365 \frac{5}{8} .

$\frac{215\frac{9}{16} - 208\frac{3}{4} + \frac{1}{2}}{0,0001 : 0,005} = 365\frac{5}{8}.$

1) 215 \frac{9}{16} - 208 \frac{3}{4} = 215 \frac{9}{16} - 208 \frac{12}{16} = 214 + 1 + \frac{9}{16} - 208 \frac{12}{16} = 214 + \frac{16}{16} + \frac{9}{16} - 208 \frac{12}{16} = 214 \frac{25}{16} - 208 \frac{12}{16} = 214 - 208 + (\frac{25}{16} - \frac{12}{16}) = 6 \frac{13}{16};

$1) 215\frac{9}{16} - 208\frac{3}{4} = 215\frac{9}{16} - 208\frac{12}{16} = 214 + 1 + \frac{9}{16} - 208\frac{12}{16} = 214 + \frac{16}{16} + \frac{9}{16} - 208\frac{12}{16} = 214\frac{25}{16} - 208\frac{12}{16} = 214 - 208 + (\frac{25}{16} - \frac{12}{16}) = 6\frac{13}{16};$

2) 6 \frac{13}{16} + \frac{1}{2} = 6 \frac{13}{16} + \frac{8}{16} = 6 + \frac{13 + 8}{16} = 6 \frac{21}{16} = 6 + 1 \frac{5}{16} = 7 \frac{5}{16};

$2) 6\frac{13}{16} + \frac{1}{2} = 6\frac{13}{16} + \frac{8}{16} = 6 + \frac{13 + 8}{16} = 6\frac{21}{16} = 6 + 1\frac{5}{16} = 7\frac{5}{16};$

3) 0, 0001 : 0, 005 = \frac{0, 0001}{0, 005} = \frac{1}{50};

$3) 0,0001 : 0,005 = \frac{0,0001}{0,005} = \frac{1}{50};$

4) 7 \frac{5}{16} : \frac{1}{50} = \frac{117}{16} \cdot \frac{50}{1} = \frac{117 \cdot 50}{16 \cdot 1} = \frac{117 \cdot 25}{8 \cdot 1} = \frac{2925}{8} = 365 \frac{5}{8} .

$4) 7\frac{5}{16} : \frac{1}{50} = \frac{117}{16} \cdot \frac{50}{1} = \frac{117 \cdot 50}{16 \cdot 1} = \frac{117 \cdot 25}{8 \cdot 1} = \frac{2925}{8} = 365\frac{5}{8}.$
Ответ:

365 \frac{5}{8} .

$365\frac{5}{8}.$

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Вычислить:215916−20834+120,0001:0,005.215916−20834+120,0001:0,005. \frac{215\frac{9}{16} - 208\frac{3}{4} + \frac{1}{2}}{0,0001 : 0,005}.

Вычислить:
$\frac{215\frac{9}{16} - 208\frac{3}{4} + \frac{1}{2}}{0,0001 : 0,005}.$