Question

Представьте непрачельные дроби в виде смешаных чисел и привидите их в наименьшему общему знаменателю 13/12 и 25/18 93/25 и 52/15 71/30 и 41/25 51/25 и 93/20 ПОМОГИТЕ ПОЖАЛУСТА.

Answer 1

2 раза
15
2. 2 раза
6
5. 2 раза

Answer 2

Converting Improper Fractions to Mixed Numbers

To convert improper fractions to mixed numbers, you need to divide the numerator by the denominator. The quotient will be the whole number part of the mixed number, and the remainder will be the numerator of the fractional part. The denominator remains the same. Here's how you can convert the given improper fractions to mixed numbers:

1. 13/12: - Divide 13 by 12: 13 ÷ 12 = 1 with a remainder of 1. - The mixed number is 1 1/12.

2. 25/18: - Divide 25 by 18: 25 ÷ 18 = 1 with a remainder of 7. - The mixed number is 1 7/18.

3. 93/25: - Divide 93 by 25: 93 ÷ 25 = 3 with a remainder of 18. - The mixed number is 3 18/25.

4. 52/15: - Divide 52 by 15: 52 ÷ 15 = 3 with a remainder of 7. - The mixed number is 3 7/15.

5. 71/30: - Divide 71 by 30: 71 ÷ 30 = 2 with a remainder of 11. - The mixed number is 2 11/30.

6. 41/25: - Divide 41 by 25: 41 ÷ 25 = 1 with a remainder of 16. - The mixed number is 1 16/25.

7. 51/25: - Divide 51 by 25: 51 ÷ 25 = 2 with a remainder of 1. - The mixed number is 2 1/25.

8. 93/20: - Divide 93 by 20: 93 ÷ 20 = 4 with a remainder of 13. - The mixed number is 4 13/20.

Finding the Least Common Denominator (LCD)

To find the least common denominator (LCD) for fractions, you need to determine the smallest multiple that both denominators share. Here's how you can find the LCD for the given fractions:

1. 13/12 and 25/18: - The prime factorization of 12 is 2^2 * 3, and the prime factorization of 18 is 2 * 3^2. - The LCD is the product of the highest powers of all prime factors: 2^2 * 3^2 = 4 * 9 = 36.

2. 93/25 and 52/15: - The prime factorization of 25 is 5^2, and the prime factorization of 15 is 3 * 5. - The LCD is the product of the highest powers of all prime factors: 5^2 * 3 = 25 * 3 = 75.

3. 71/30 and 41/25: - The prime factorization of 30 is 2 * 3 * 5, and the prime factorization of 25 is 5^2. - The LCD is the product of the highest powers of all prime factors: 2 * 3 * 5^2 = 2 * 3 * 25 = 150.

4. 51/25 and 93/20: - The prime factorization of 25 is 5^2, and the prime factorization of 20 is 2^2 * 5. - The LCD is the product of the highest powers of all prime factors: 5^2 * 2^2 = 25 * 4 = 100.

Converting Fractions to the Least Common Denominator

To convert fractions to the least common denominator (LCD), you need to multiply both the numerator and denominator by the appropriate factor. Here's how you can convert the given fractions to the LCD:

1. 13/12: - Multiply both the numerator and denominator by 3: (13 * 3) / (12 * 3) = 39/36.

2. 25/18: - Multiply both the numerator and denominator by 2: (25 * 2) / (18 * 2) = 50/36.

3. 93/25: - Multiply both the numerator and denominator by 3: (93 * 3) / (25 * 3) = 279/75.

4. 52/15: - Multiply both the numerator and denominator by 5: (52 * 5) / (15 * 5) = 260/75.

5. 71/30: - Multiply both the numerator and denominator by 5: (71 * 5) / (30 * 5) = 355/150.

6. 41/25: - Multiply both the numerator and denominator by 6: (41 * 6) / (25 * 6) = 246/150.

7. 51/25: - Multiply both the numerator and denominator by 4: (51 * 4) / (25 * 4) = 204/100.

8. 93/20: - Multiply both the numerator and denominator by 5: (93 * 5) / (20 * 5) = 465/100.

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