Question

Приведите дроби к общему знаменателю 5/6 и 7/11 ; 7/13 и 7/16 ; 3/8 и 1/6 ; 5/8 и 7/10 ; 7/12 и 11/18 ; 10/21 и 9/14 ; 3/10 и 3/8 и 3/4 ; 3/28 и 9/14 и 7/8

Answer 1

5/6 и 7/11 = 55/66 и 42/66
7/13 и 7/16 = 112/208 и 91/208
3/8 и 1/6 = 9/24 и 4/24
5/8 и 7/10 = 25/40 и 28/40
7/12 и 11/18 = 21/36 и 22/36
10/21 и 9/14 = 20/42 и 27/42
3/10 и 3/8 и 3/4 = 12/40 и 15/40 и 30/40
3/28 и 9/14 и 7/8 = 6/56 и 36/56 и 49/56

Answer 2

Finding the Common Denominator for Fractions

To find the common denominator for fractions, we need to determine the least common multiple (LCM) of the denominators. Once we have the LCM, we can convert each fraction to an equivalent fraction with the common denominator.

Let's find the common denominators for the given fractions:

1. 5/6 and 7/11: - The denominators are 6 and 11. - The LCM of 6 and 11 is 66. - Converting the fractions to the common denominator: - 5/6 = (5/6) * (11/11) = 55/66 - 7/11 = (7/11) * (6/6) = 42/66

2. 7/13 and 7/16: - The denominators are 13 and 16. - The LCM of 13 and 16 is 208. - Converting the fractions to the common denominator: - 7/13 = (7/13) * (16/16) = 112/208 - 7/16 = (7/16) * (13/13) = 91/208

3. 3/8 and 1/6: - The denominators are 8 and 6. - The LCM of 8 and 6 is 24. - Converting the fractions to the common denominator: - 3/8 = (3/8) * (3/3) = 9/24 - 1/6 = (1/6) * (4/4) = 4/24

4. 5/8 and 7/10: - The denominators are 8 and 10. - The LCM of 8 and 10 is 40. - Converting the fractions to the common denominator: - 5/8 = (5/8) * (5/5) = 25/40 - 7/10 = (7/10) * (4/4) = 28/40

5. 7/12 and 11/18: - The denominators are 12 and 18. - The LCM of 12 and 18 is 36. - Converting the fractions to the common denominator: - 7/12 = (7/12) * (3/3) = 21/36 - 11/18 = (11/18) * (2/2) = 22/36

6. 10/21 and 9/14: - The denominators are 21 and 14. - The LCM of 21 and 14 is 42. - Converting the fractions to the common denominator: - 10/21 = (10/21) * (2/2) = 20/42 - 9/14 = (9/14) * (3/3) = 27/42

7. 3/10, 3/8, and 3/4: - The denominators are 10, 8, and 4. - The LCM of 10, 8, and 4 is 40. - Converting the fractions to the common denominator: - 3/10 = (3/10) * (4/4) = 12/40 - 3/8 = (3/8) * (5/5) = 15/40 - 3/4 = (3/4) * (10/10) = 30/40

8. 3/28, 9/14, and 7/8: - The denominators are 28, 14, and 8. - The LCM of 28, 14, and 8 is 56. - Converting the fractions to the common denominator: - 3/28 = (3/28) * (2/2) = 6/56 - 9/14 = (9/14) * (4/4) = 36/56 - 7/8 = (7/8) * (7/7) = 49/56

Therefore, the fractions with their common denominators are:

1. 5/6 and 7/11 become 55/66 and 42/66. 2. 7/13 and 7/16 become 112/208 and 91/208. 3. 3/8 and 1/6 become 9/24 and 4/24. 4. 5/8 and 7/10 become 25/40 and 28/40. 5. 7/12 and 11/18 become 21/36 and 22/36. 6. 10/21 and 9/14 become 20/42 and 27/42. 7. 3/10, 3/8, and 3/4 become 12/40, 15/40, and 30/40. 8. 3/28, 9/14, and 7/8 become 6/56, 36/56, and 49/56.

Please let me know if you need any further assistance!