Question

Найдите несколько общих знаменателей дробей назовите их наименьший общий знаменатель4/7 и 9/14, 2/3 и 5/9, 1/6 и 1/8,5/6 и 5/9, 3/4 и 5/6, 1/10 и 4/15 Помогите пожалуйста )

Answer 1

Во первых можно просто перемножить заменатели пар и будет общий плюс потом это число умножить например 2 или три то есть просто его увеличить ,а меньший это
для первой пары- 14
для второй 9
для третей-24
для четвертой-18
для пятой-12
для шесто1- 30

Answer 2

Finding the Least Common Denominator (LCD) for Fractions

To find the least common denominator (LCD) for fractions, we need to determine the smallest number that is divisible by all the denominators involved. Once we find the LCD, we can convert the fractions to have the same denominator and perform operations on them.

Let's find the LCD for the given fractions:

1. 4/7 and 9/14: - The denominators are 7 and 14. The smallest number divisible by both 7 and 14 is 14. - Therefore, the LCD for 4/7 and 9/14 is 14.

2. 2/3 and 5/9: - The denominators are 3 and 9. The smallest number divisible by both 3 and 9 is 9. - Therefore, the LCD for 2/3 and 5/9 is 9.

3. 1/6 and 1/8: - The denominators are 6 and 8. The smallest number divisible by both 6 and 8 is 24. - Therefore, the LCD for 1/6 and 1/8 is 24.

4. 5/6 and 5/9: - The denominators are 6 and 9. The smallest number divisible by both 6 and 9 is 18. - Therefore, the LCD for 5/6 and 5/9 is 18.

5. 3/4 and 5/6: - The denominators are 4 and 6. The smallest number divisible by both 4 and 6 is 12. - Therefore, the LCD for 3/4 and 5/6 is 12.

6. 1/10 and 4/15: - The denominators are 10 and 15. The smallest number divisible by both 10 and 15 is 30. - Therefore, the LCD for 1/10 and 4/15 is 30.

Summary of Least Common Denominators (LCDs):

1. 4/7 and 9/14: LCD = 14 2. 2/3 and 5/9: LCD = 9 3. 1/6 and 1/8: LCD = 24 4. 5/6 and 5/9: LCD = 18 5. 3/4 and 5/6: LCD = 12 6. 1/10 and 4/15: LCD = 30

By finding the LCD for each pair of fractions, we can determine the common denominator that allows us to compare and perform operations on the fractions.