Question

ПОМОГИТЕ ПОЖАЛУЙСТА!!!! приведите дроби к наименьшему общему знаменателю.Найдите еще несколько общих знаменателей для каждой пары дробей: 1/10 и 1/4 12/15 и 4/10 1/6 и 1/9 P.S я отмечу ваше решение ЛУЧШИМ)

Answer 1

1)1/10 и 1/4
2/20 и 5/20
Общие знаменатели: 20, 40, 60.
2)12/15 и 4/10
24/30 и 12/30
Общие знаменатели: 30, 60, 90
3)1/6 и 1/9
3/18 и 2/18
Обще знаменатель: 18, 36, 54.

Answer 2

Finding the Least Common Denominator (LCD)

To find the least common denominator (LCD) for a pair of fractions, we need to determine the smallest number that both denominators can evenly divide into. Once we find the LCD, we can convert the fractions to have the same denominator.

Let's find the LCD for each pair of fractions you provided:

1. 1/10 and 1/4: - The denominators are 10 and 4. - The LCD is the smallest number that both 10 and 4 can evenly divide into. - The multiples of 10 are 10, 20, 30, 40, ... - The multiples of 4 are 4, 8, 12, 16, ... - The smallest number that appears in both lists is 20. - Therefore, the LCD for 1/10 and 1/4 is 20.

2. 12/15 and 4/10: - The denominators are 15 and 10. - The multiples of 15 are 15, 30, 45, 60, ... - The multiples of 10 are 10, 20, 30, 40, ... - The smallest number that appears in both lists is 30. - Therefore, the LCD for 12/15 and 4/10 is 30.

3. 1/6 and 1/9: - The denominators are 6 and 9. - The multiples of 6 are 6, 12, 18, 24, ... - The multiples of 9 are 9, 18, 27, 36, ... - The smallest number that appears in both lists is 18. - Therefore, the LCD for 1/6 and 1/9 is 18.

Converting Fractions to the LCD

Now that we have found the LCD for each pair of fractions, we can convert the fractions to have the same denominator.

1. 1/10 and 1/4: - The LCD is 20. - To convert 1/10 to have a denominator of 20, we multiply both the numerator and denominator by 2: 1/10 * 2/2 = 2/20. - To convert 1/4 to have a denominator of 20, we multiply both the numerator and denominator by 5: 1/4 * 5/5 = 5/20. - Therefore, the fractions 1/10 and 1/4 can be written as 2/20 and 5/20 respectively.

2. 12/15 and 4/10: - The LCD is 30. - To convert 12/15 to have a denominator of 30, we multiply both the numerator and denominator by 2: 12/15 * 2/2 = 24/30. - To convert 4/10 to have a denominator of 30, we multiply both the numerator and denominator by 3: 4/10 * 3/3 = 12/30. - Therefore, the fractions 12/15 and 4/10 can be written as 24/30 and 12/30 respectively.

3. 1/6 and 1/9: - The LCD is 18. - To convert 1/6 to have a denominator of 18, we multiply both the numerator and denominator by 3: 1/6 * 3/3 = 3/18. - To convert 1/9 to have a denominator of 18, we multiply both the numerator and denominator by 2: 1/9 * 2/2 = 2/18. - Therefore, the fractions 1/6 and 1/9 can be written as 3/18 and 2/18 respectively.

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