6.25 Запишите в виде a) 5\frac{3}{10}, 7\frac{4}{10}, 13\frac{13}{100}, 8\frac{21}{100}, 9\frac{8}{100}, 100\frac{1}{100}, 303\frac{303}{1000}, 12\frac{25}{1000} б) 324\frac{7}{1000}, 9\frac{19}{10 000}, 21\frac{407}{100 000}, 320\frac{1}{10 000}, 10\frac{8}{10}, 9\frac{9}{100}, 1\frac{1}{100 000}

Ответ: записаны смешанные числа в виде обыкновенных дробей

а)

• \[5\frac{3}{10} = \frac{5 \cdot 10 + 3}{10} = \frac{50 + 3}{10} = \frac{53}{10}\]
• \[7\frac{4}{10} = \frac{7 \cdot 10 + 4}{10} = \frac{70 + 4}{10} = \frac{74}{10}\]
• \[13\frac{13}{100} = \frac{13 \cdot 100 + 13}{100} = \frac{1300 + 13}{100} = \frac{1313}{100}\]
• \[8\frac{21}{100} = \frac{8 \cdot 100 + 21}{100} = \frac{800 + 21}{100} = \frac{821}{100}\]
• \[9\frac{8}{100} = \frac{9 \cdot 100 + 8}{100} = \frac{900 + 8}{100} = \frac{908}{100}\]
• \[100\frac{1}{100} = \frac{100 \cdot 100 + 1}{100} = \frac{10000 + 1}{100} = \frac{10001}{100}\]
• \[303\frac{303}{1000} = \frac{303 \cdot 1000 + 303}{1000} = \frac{303000 + 303}{1000} = \frac{303303}{1000}\]
• \[12\frac{25}{1000} = \frac{12 \cdot 1000 + 25}{1000} = \frac{12000 + 25}{1000} = \frac{12025}{1000}\]

б)

• \[324\frac{7}{1000} = \frac{324 \cdot 1000 + 7}{1000} = \frac{324000 + 7}{1000} = \frac{324007}{1000}\]
• \[9\frac{19}{10000} = \frac{9 \cdot 10000 + 19}{10000} = \frac{90000 + 19}{10000} = \frac{90019}{10000}\]
• \[21\frac{407}{100000} = \frac{21 \cdot 100000 + 407}{100000} = \frac{2100000 + 407}{100000} = \frac{2100407}{100000}\]
• \[320\frac{1}{10000} = \frac{320 \cdot 10000 + 1}{10000} = \frac{3200000 + 1}{10000} = \frac{3200001}{10000}\]
• \[10\frac{8}{10} = \frac{10 \cdot 10 + 8}{10} = \frac{100 + 8}{10} = \frac{108}{10}\]
• \[9\frac{9}{100} = \frac{9 \cdot 100 + 9}{100} = \frac{900 + 9}{100} = \frac{909}{100}\]
• \[1\frac{1}{100000} = \frac{1 \cdot 100000 + 1}{100000} = \frac{100000 + 1}{100000} = \frac{100001}{100000}\]

Ответ: записаны смешанные числа в виде обыкновенных дробей