Question

Приведите к наименьшему общему знаменателю дроби:9/14 и 2/21;1/20 и 1/30;1/9,1/4 и 1/6;3/28,9/14 и 7/8

Answer 1

9/14 и 2/21
9/14*3 и 2/21*2 
27/42 и 4/42

1/20 и 1/30
1/20*3 и 1/30*2
3/60 и 2/60

1/9, 1/4, 1/6
1/9*4, 1/4*9, 1/6*6
4/36, 9/36, 6/36

3/28, 9/14, 7/8
3/28*2, 9/14*4, 7/8*7
6/56, 36/56, 49/56

Answer 2

Finding the Least Common Denominator for Fractions

To find the least common denominator for the given fractions, we can follow these steps:

1. 9/14 and 2/21: - The least common denominator for 9/14 and 2/21 is 42. - To find the equivalent fractions with the common denominator of 42: - 9/14 = 27/42 - 2/21 = 4/42 - Therefore, the equivalent fractions with the common denominator of 42 are 27/42 and 4/42.

2. 1/20 and 1/30: - The least common denominator for 1/20 and 1/30 is 60. - To find the equivalent fractions with the common denominator of 60: - 1/20 = 3/60 - 1/30 = 2/60 - Therefore, the equivalent fractions with the common denominator of 60 are 3/60 and 2/60.

3. 1/9, 1/4, and 1/6: - The least common denominator for 1/9, 1/4, and 1/6 is 36. - To find the equivalent fractions with the common denominator of 36: - 1/9 = 4/36 - 1/4 = 9/36 - 1/6 = 6/36 - Therefore, the equivalent fractions with the common denominator of 36 are 4/36, 9/36, and 6/36.

4. 3/28, 9/14, and 7/8: - The least common denominator for 3/28, 9/14, and 7/8 is 56. - To find the equivalent fractions with the common denominator of 56: - 3/28 = 6/56 - 9/14 = 36/56 - 7/8 = 49/56 - Therefore, the equivalent fractions with the common denominator of 56 are 6/56, 36/56, and 49/56.

By finding the least common denominators and equivalent fractions, we can compare and perform operations on the given fractions effectively.