Question

Приведите к наименьшему общему знаменателю дроби 11/24и1/30

Answer 1

24 = 2*2*2*3
30 = 2*3*5
НОК(24; 30) = 2*2*2*3*5 = 24*5 = 120


11/24 = 55/120
1/30 = 4/120

Answer 2

Finding the Least Common Denominator for 11/24 and 1/30

To find the least common denominator for the fractions 11/24 and 1/30, we need to determine the smallest multiple that both denominators, 24 and 30, have in common.

First, let's factorize the denominators: - 24 = 2 * 2 * 2 * 3 - 30 = 2 * 3 * 5

The least common multiple (LCM) of 24 and 30 can be found by taking the highest power of each prime factor that appears in the factorization of either number. Therefore, the LCM of 24 and 30 is 2^3 * 3 * 5, which equals 120.

So, the least common denominator for the fractions 11/24 and 1/30 is 120.

Therefore, to express the fractions with a common denominator of 120, we need to adjust the numerators accordingly: - 11/24 becomes 55/120 (multiplied by 5/5) - 1/30 becomes 4/120 (multiplied by 4/4)

This means that 11/24 is equivalent to 55/120 and 1/30 is equivalent to 4/120.

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