Question

Приведите к наименьшему общему знаменателю обыкновенные ss2 1) 5) IS 40 17 25 100 3) 7) 651 23 32 и 19 40 1 96 8) 69 70 31 42 139 140 помогите пожалуйста ​

Answer 1

Відповідь:Наименьший общий знаменатель для дробей в задаче - 1920.

Покрокове пояснення:

Answer 2

Finding the Least Common Denominator for the Given Fractions

To find the least common denominator (LCD) for the given fractions, we can follow these steps:

1. List the Prime Factors of Each Denominator: - For each denominator, list its prime factors.

2. Identify the Unique Prime Factors: - Identify the unique prime factors from all the denominators.

3. Calculate the Least Common Multiple (LCM): - Calculate the least common multiple of the unique prime factors to find the least common denominator.

Let's proceed with these steps to find the least common denominator for the given fractions.

Step 1: List the Prime Factors of Each Denominator

The denominators provided are: - 2, 5, 40, 17, 25, 100, 3, 7, 651, 23, 32, 19, 40, 1, 96, 8, 69, 70, 31, 42, 139, 140

Step 2: Identify the Unique Prime Factors

The prime factors of the given denominators are: - 2: 2 - 5: 5 - 40: 2, 2, 2, 5 - 17: 17 - 25: 5, 5 - 100: 2, 2, 5, 5 - 3: 3 - 7: 7 - 651: 3, 7, 31 - 23: 23 - 32: 2, 2, 2, 2, 2 - 19: 19 - 1: (No prime factors as 1 is not a prime number) - 96: 2, 2, 2, 2, 2, 3 - 8: 2, 2, 2 - 69: 3, 23 - 70: 2, 5, 7 - 31: 31 - 42: 2, 3, 7 - 139: 139 - 140: 2, 2, 5, 7

The unique prime factors are: 2, 3, 5, 7, 17, 19, 23, 31, 139

Step 3: Calculate the Least Common Multiple (LCM)

Now, we'll calculate the least common multiple (LCM) of the unique prime factors to find the least common denominator.

The LCM of the unique prime factors is: - LCM(2, 3, 5, 7, 17, 19, 23, 31, 139) = 2 * 3 * 5 * 7 * 17 * 19 * 23 * 31 * 139

Therefore, the least common denominator for the given fractions is 2 * 3 * 5 * 7 * 17 * 19 * 23 * 31 * 139.

This is the least common denominator that can be used for the given fractions.