Question

Общий знаменатель 100 и 24!!!!!! Срочно помогите!!!!!

Answer 1

600,.....................

Answer 2

Общий знаменатель кажется "2" 100и 24делятся на 2

Answer 3

Finding the Common Denominator of 100 and 24

To find the common denominator of 100 and 24, we need to determine the smallest number that both 100 and 24 can divide evenly into. The common denominator is the least common multiple (LCM) of the two numbers.

The LCM of 100 and 24 can be found by finding the prime factors of each number and multiplying them together, taking the highest power of each prime factor.

Let's break down the process step by step:

1. Prime factorization of 100: - The prime factors of 100 are 2 and 5. - 100 can be expressed as 2^2 * 5^2.

2. Prime factorization of 24: - The prime factors of 24 are 2 and 3. - 24 can be expressed as 2^3 * 3^1.

3. Determine the common factors: - Both 100 and 24 have a factor of 2. - Both 100 and 24 have a factor of 2^2 (since 2^2 is the highest power of 2 in 100). - Both 100 and 24 have a factor of 3. - Both 100 and 24 have a factor of 5^2 (since 5^2 is the highest power of 5 in 100).

4. Calculate the LCM: - Multiply the common factors together: 2^2 * 3 * 5^2. - Simplify the expression: 4 * 3 * 25. - Calculate the product: 300.

Therefore, the common denominator of 100 and 24 is 300.