Question

ПОМОГИТЕ,ПОЖАЛУЙСТА:найдите наименьшее общее кратное:18 и 45 запишите в виде дроби частные 27:8; 72:8; 483:18; 1225:12 и выделите из них целые части.ПОДРОБНО

Answer 1

НОК (18 и 45)=9
нужно разложить каждое из чисел на простые множители, затем выбрать все те, которые принадлежат обоим числам. в конце их перемножить
18=2*3*3
45=5*3*3
3,3 - общие, 3*3=9
$27:8= \frac{27}{8}=3\frac{3}{8}$
$72:8= \frac{72}{8}=9$
$483:18= \frac{483}{18}=26\frac{15}{18}=26\frac{5}{6}$
$1225:12= \frac{1225}{12}=102\frac{1}{12}$

Answer 2

Finding the Least Common Multiple (LCM) of 18 and 45

To find the least common multiple (LCM) of 18 and 45, we can use the following approach:

1. Prime Factorization: - First, we can find the prime factorization of both numbers. - The prime factorization of 18 is 2 * 3^2. - The prime factorization of 45 is 3^2 * 5.

2. LCM Calculation: - The LCM is the product of the highest powers of all prime factors involved. - Therefore, the LCM of 18 and 45 is 2 * 3^2 * 5 = 90.

Expressing as Fractions and Identifying Whole Parts

Now, let's express the given divisions as fractions and identify their whole parts:

1. 27 ÷ 8: - The result of 27 ÷ 8 is 3.375. The whole part is 3.

2. 72 ÷ 8: - The result of 72 ÷ 8 is 9. The whole part is 9.

3. 483 ÷ 18: - The result of 483 ÷ 18 is 26.8333... The whole part is 26.

4. 1225 ÷ 12: - The result of 1225 ÷ 12 is 102.0833... The whole part is 102.

Therefore, the LCM of 18 and 45 is 90, and the whole parts of the given divisions are 3, 9, 26, and 102.