Question

Приведите дроби к наименьшиму общему знаменателю 7/20 и 5/12; 11/24 и 1/30; 3/10 и 7/16; 3/16 и 1/10; 11/108 и 7/12; 7/24 и 2/15; 1/12 и 2/9; 4/21 и 13/28; 3/14 и 2/21 помогите пожалуйста

Answer 1

7/20=21/60  5/12=25/60
11/24= 55/120         1/30=4/120
3/10= 24/80     7/16=35/80
3/16= 15/80     1/10=8/80
11/108    7/12=32/108
7/24= 35/120     2/15=16/120
1/12= 3/36   2/9=8/36
4/21=  16/84    13/28=39/28
3/14=9/42     2/24=4/42
 

Answer 2

Finding the Least Common Denominator for Fractions

To find the least common denominator for each pair of fractions, we can follow these steps:

1. Find the prime factorization of each denominator. 2. Identify the highest power of each prime factor in the factorizations. 3. Multiply the prime factors raised to their highest powers to get the least common denominator.

Let's calculate the least common denominators for the given pairs of fractions.

Calculating the Least Common Denominators

1. 7/20 and 5/12: - The least common denominator for 7/20 and 5/12 is 60. - This can be calculated as follows: - 20 = 2^2 * 5 - 12 = 2^2 * 3 - The least common multiple of 20 and 12 is 2^2 * 3 * 5 = 60.

2. 11/24 and 1/30: - The least common denominator for 11/24 and 1/30 is 120. - This can be calculated as follows: - 24 = 2^3 * 3 - 30 = 2 * 3 * 5 - The least common multiple of 24 and 30 is 2^3 * 3 * 5 = 120.

3. 3/10 and 7/16: - The least common denominator for 3/10 and 7/16 is 80. - This can be calculated as follows: - 10 = 2 * 5 - 16 = 2^4 - The least common multiple of 10 and 16 is 2^4 * 5 = 80.

4. 3/16 and 1/10: - The least common denominator for 3/16 and 1/10 is 80. - This can be calculated as follows: - 16 = 2^4 - 10 = 2 * 5 - The least common multiple of 16 and 10 is 2^4 * 5 = 80.

5. 11/108 and 7/12: - The least common denominator for 11/108 and 7/12 is 108. - This can be calculated as follows: - 108 = 2^2 * 3^3 - 12 = 2^2 * 3 - The least common multiple of 108 and 12 is 2^2 * 3^3 = 108.

6. 7/24 and 2/15: - The least common denominator for 7/24 and 2/15 is 120. - This can be calculated as follows: - 24 = 2^3 * 3 - 15 = 3 * 5 - The least common multiple of 24 and 15 is 2^3 * 3 * 5 = 120.

7. 1/12 and 2/9: - The least common denominator for 1/12 and 2/9 is 36. - This can be calculated as follows: - 12 = 2^2 * 3 - 9 = 3^2 - The least common multiple of 12 and 9 is 2^2 * 3^2 = 36.

8. 4/21 and 13/28: - The least common denominator for 4/21 and 13/28 is 84. - This can be calculated as follows: - 21 = 3 * 7 - 28 = 2^2 * 7 - The least common multiple of 21 and 28 is 2^2 * 3 * 7 = 84.

9. 3/14 and 2/21: - The least common denominator for 3/14 and 2/21 is 42. - This can be calculated as follows: - 14 = 2 * 7 - 21 = 3 * 7 - The least common multiple of 14 and 21 is 2 * 3 * 7 = 42.

I hope this helps! If you have any more questions or need further assistance, feel free to ask.