Задание 5. Переведите дроби:

Здравствуйте, ребята! Сегодня мы с вами займемся переводом обыкновенных дробей в десятичные. Важно помнить, что для этого нужно привести дробь к знаменателю 10, 100, 1000 и так далее.

1) \(\frac{21}{500}\) = \(\frac{21 \cdot 2}{500 \cdot 2}\) = \(\frac{42}{1000}\) = 0.042

2) \(\frac{37}{250}\) = \(\frac{37 \cdot 4}{250 \cdot 4}\) = \(\frac{148}{1000}\) = 0.148

3) \(\frac{1}{16}\) = 0.0625 (Чтобы получить это значение, можно разделить 1 на 16 столбиком)

4) \(\frac{3}{8}\) = \(\frac{3 \cdot 125}{8 \cdot 125}\) = \(\frac{375}{1000}\) = 0.375

5) \(\frac{4}{625}\) = \(\frac{4 \cdot 16}{625 \cdot 16}\) = \(\frac{64}{10000}\) = 0.0064

6) \(\frac{341}{500}\) = \(\frac{341 \cdot 2}{500 \cdot 2}\) = \(\frac{682}{1000}\) = 0.682

7) \(\frac{1}{200}\) = \(\frac{1 \cdot 5}{200 \cdot 5}\) = \(\frac{5}{1000}\) = 0.005

8) \(\frac{3}{40}\) = \(\frac{3 \cdot 25}{40 \cdot 25}\) = \(\frac{75}{1000}\) = 0.075

9) \(\frac{6}{125}\) = \(\frac{6 \cdot 8}{125 \cdot 8}\) = \(\frac{48}{1000}\) = 0.048

10) \(\frac{5}{16}\) = 0.3125 (Чтобы получить это значение, можно разделить 5 на 16 столбиком)

11) \(\frac{13}{200}\) = \(\frac{13 \cdot 5}{200 \cdot 5}\) = \(\frac{65}{1000}\) = 0.065

12) \(\frac{81}{40}\) = \(\frac{81 \cdot 25}{40 \cdot 25}\) = \(\frac{2025}{1000}\) = 2.025

13) \(\frac{1}{8}\) = \(\frac{1 \cdot 125}{8 \cdot 125}\) = \(\frac{125}{1000}\) = 0.125

14) \(\frac{69}{200}\) = \(\frac{69 \cdot 5}{200 \cdot 5}\) = \(\frac{345}{1000}\) = 0.345

15) \(\frac{44}{125}\) = \(\frac{44 \cdot 8}{125 \cdot 8}\) = \(\frac{352}{1000}\) = 0.352

16) \(\frac{9}{250}\) = \(\frac{9 \cdot 4}{250 \cdot 4}\) = \(\frac{36}{1000}\) = 0.036

17) \(\frac{11}{40}\) = \(\frac{11 \cdot 25}{40 \cdot 25}\) = \(\frac{275}{1000}\) = 0.275

18) \(\frac{128}{125}\) = \(\frac{128 \cdot 8}{125 \cdot 8}\) = \(\frac{1024}{1000}\) = 1.024

19) \(\frac{2011}{500}\) = \(\frac{2011 \cdot 2}{500 \cdot 2}\) = \(\frac{4022}{1000}\) = 4.022

20) \(\frac{63}{40}\) = \(\frac{63 \cdot 25}{40 \cdot 25}\) = \(\frac{1575}{1000}\) = 1.575

21) \(\frac{851}{200}\) = \(\frac{851 \cdot 5}{200 \cdot 5}\) = \(\frac{4255}{1000}\) = 4.255

22) \(\frac{17}{250}\) = \(\frac{17 \cdot 4}{250 \cdot 4}\) = \(\frac{68}{1000}\) = 0.068

23) \(\frac{3}{500}\) = \(\frac{3 \cdot 2}{500 \cdot 2}\) = \(\frac{6}{1000}\) = 0.006

24) \(\frac{501}{125}\) = \(\frac{501 \cdot 8}{125 \cdot 8}\) = \(\frac{4008}{1000}\) = 4.008

25) \(\frac{29}{500}\) = \(\frac{29 \cdot 2}{500 \cdot 2}\) = \(\frac{58}{1000}\) = 0.058

26) \(\frac{303}{250}\) = \(\frac{303 \cdot 4}{250 \cdot 4}\) = \(\frac{1212}{1000}\) = 1.212

27) \(\frac{7}{8}\) = \(\frac{7 \cdot 125}{8 \cdot 125}\) = \(\frac{875}{1000}\) = 0.875

28) \(\frac{9}{40}\) = \(\frac{9 \cdot 25}{40 \cdot 25}\) = \(\frac{225}{1000}\) = 0.225

29) \(\frac{83}{16}\) = 5.1875 (Чтобы получить это значение, можно разделить 83 на 16 столбиком)

30) \(\frac{251}{250}\) = \(\frac{251 \cdot 4}{250 \cdot 4}\) = \(\frac{1004}{1000}\) = 1.004

31) \(\frac{41}{200}\) = \(\frac{41 \cdot 5}{200 \cdot 5}\) = \(\frac{205}{1000}\) = 0.205

32) \(\frac{17}{8}\) = \(\frac{17 \cdot 125}{8 \cdot 125}\) = \(\frac{2125}{1000}\) = 2.125

33) \(\frac{11}{625}\) = \(\frac{11 \cdot 16}{625 \cdot 16}\) = \(\frac{176}{10000}\) = 0.0176

Надеюсь, теперь вам стало понятнее, как переводить дроби! Помните, главное - привести дробь к удобному знаменателю.