Question

Дам 45 баллов :::::приведите дроби к общему знаменателю 3000/420 и 5200/915 !!! ПЛИИИИИИИИССС!!!! =(

Answer 1

2745000/384300 и 2184000/384300

Answer 2

To find a common denominator for the fractions 3000/420 and 5200/915, we need to find the least common multiple (LCM) of the denominators. The LCM is the smallest number that is divisible by both denominators.

The prime factorization of 420 is 2^2 * 3 * 5 * 7, and the prime factorization of 915 is 3 * 5 * 61. To find the LCM, we need to take the highest power of each prime factor that appears in either factorization.

The LCM of 420 and 915 is calculated as follows:

2^2 * 3 * 5 * 7 * 61 = 61 * 420 = 25620.

Therefore, the common denominator for the fractions 3000/420 and 5200/915 is 25620.

To convert the fractions to have a common denominator of 25620, we need to multiply the numerator and denominator of each fraction by the appropriate factor.

For the fraction 3000/420: - Multiply the numerator and denominator by 61: (3000 * 61) / (420 * 61) = 183000 / 25620.

For the fraction 5200/915: - Multiply the numerator and denominator by 28: (5200 * 28) / (915 * 28) = 145600 / 25620.

Therefore, the fractions 3000/420 and 5200/915 can be expressed with a common denominator of 25620 as follows:

3000/420 = 183000/25620 5200/915 = 145600/25620.

I hope this helps! Let me know if you have any further questions.