Question

Сократите дроби и Приведите их наименьшему общему знаменателю 18 30 и 15 18, 28 40 и 10 45

Answer 1

18/30 = 9/15
15/18 = 5/6
28/40 = 7/10
10/45 = 2/9

Н.О.З. (15,6,10,9) = 90.
9/15 = 45/90.
5/6 = 75/90.
7/10 = 63/90.
2/9 = 20/90.

Удачи! :)

Answer 2

Simplifying and Finding the Least Common Denominator

To simplify fractions and find the least common denominator, we can follow these steps:

1. Find the greatest common divisor (GCD) of the denominators. 2. Divide each denominator by the GCD to simplify the fractions. 3. Multiply the simplified denominators to find the least common denominator (LCD). 4. Multiply the numerators of each fraction by the same factor needed to make the denominators equal to the LCD. 5. Write the fractions with the simplified numerators and the LCD as the common denominator.

Let's apply these steps to the given fractions:

1. Simplifying the fractions 18/30 and 15/18:

- The GCD of 30 and 18 is 6. - Dividing each denominator by 6, we get: - 18/30 simplifies to 3/5. - 15/18 simplifies to 5/6.

2. Simplifying the fractions 28/40 and 10/45:

- The GCD of 40 and 45 is 5. - Dividing each denominator by 5, we get: - 28/40 simplifies to 7/10. - 10/45 simplifies to 2/9.

3. Finding the least common denominator (LCD):

- The LCD of 5 and 6 is 30, as it is the smallest number that both 5 and 6 divide into evenly.

4. Multiplying the numerators by the necessary factors:

- For the fraction 3/5, we multiply the numerator by 6 to make the denominator 30. This gives us 18/30. - For the fraction 5/6, we multiply the numerator by 5 to make the denominator 30. This gives us 25/30. - For the fraction 7/10, we multiply the numerator by 3 to make the denominator 30. This gives us 21/30. - For the fraction 2/9, we multiply the numerator by 10 to make the denominator 30. This gives us 20/30.

5. Writing the fractions with the simplified numerators and the LCD as the common denominator:

- The fractions, after simplification and finding the LCD, are: - 18/30 and 25/30 for the first pair of fractions. - 21/30 and 20/30 for the second pair of fractions.

Therefore, the simplified fractions with the least common denominator are: - 18/30 and 25/30 for the first pair of fractions. - 21/30 and 20/30 for the second pair of fractions.

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