6.25 Запишите в виде десятичной дроби: 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}{10000}, 21\frac{407}{100000}, 320\frac{1}{10000}, \frac{8}{10}, \frac{9}{100}, \frac{1}{100000}

a) Запишем в виде десятичной дроби:

1. $$5\frac{3}{10} = 5 + \frac{3}{10} = 5 + 0.3 = 5.3$$
2. $$7\frac{4}{10} = 7 + \frac{4}{10} = 7 + 0.4 = 7.4$$
3. $$13\frac{13}{100} = 13 + \frac{13}{100} = 13 + 0.13 = 13.13$$
4. $$8\frac{21}{100} = 8 + \frac{21}{100} = 8 + 0.21 = 8.21$$
5. $$9\frac{8}{100} = 9 + \frac{8}{100} = 9 + 0.08 = 9.08$$
6. $$100\frac{1}{100} = 100 + \frac{1}{100} = 100 + 0.01 = 100.01$$
7. $$303\frac{303}{1000} = 303 + \frac{303}{1000} = 303 + 0.303 = 303.303$$
8. $$12\frac{25}{1000} = 12 + \frac{25}{1000} = 12 + 0.025 = 12.025$$

б) Запишем в виде десятичной дроби:

1. $$324\frac{7}{1000} = 324 + \frac{7}{1000} = 324 + 0.007 = 324.007$$
2. $$9\frac{19}{10000} = 9 + \frac{19}{10000} = 9 + 0.0019 = 9.0019$$
3. $$21\frac{407}{100000} = 21 + \frac{407}{100000} = 21 + 0.00407 = 21.00407$$
4. $$320\frac{1}{10000} = 320 + \frac{1}{10000} = 320 + 0.0001 = 320.0001$$
5. $$\frac{8}{10} = 0.8$$
6. $$\frac{9}{100} = 0.09$$
7. $$\frac{1}{100000} = 0.00001$$

Ответ: a) 5.3, 7.4, 13.13, 8.21, 9.08, 100.01, 303.303, 12.025; б) 324.007, 9.0019, 21.00407, 320.0001, 0.8, 0.09, 0.00001