Question

Знайдіть найменший спільний знаменник дробів 5/16 і 5/24

Answer 1

Ответ:      48.

Пошаговое объяснение:

найменший спільний знаменник  -

НОК(16;24) = (2*2*2*3)*2 = 48;

16 = 2*2*2*2;  

24 = 2*2*2*3.

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5/16 =15/48;

5/24 =10/48.

Answer 2

Finding the Least Common Denominator (LCD) for 5/16 and 5/24

To find the least common denominator (LCD) for the fractions 5/16 and 5/24, we need to determine the smallest multiple that both denominators, 16 and 24, have in common.

First, let's find the prime factorization of each denominator: - For 16: 16 = 2 * 2 * 2 * 2 - For 24: 24 = 2 * 2 * 2 * 3

The prime factorization of 16 is 2^4, and the prime factorization of 24 is 2^3 * 3.

To find the LCD, we take the highest power of each prime factor that appears in the factorization of the denominators. In this case, the LCD will be the product of the highest powers of 2 and 3 that appear in the factorizations.

So, the LCD for 5/16 and 5/24 is 2^4 * 3, which equals 48.

Therefore, the least common denominator for the fractions 5/16 and 5/24 is 48.