Question

Решите пожалуйста!!!Дам 20 баллов!!! 7/12+5/18 , 2 целых 7/24+3 целых 2/15 , 3/16+1/3 , 7/15-4/9 , 4 целых 1/24-2 целых 11/30 , 9 целых-6 целых 3/19

Answer 1

1)31/36
2)651/120
3)109/48
4)1/45
5)201/120
6)54/19

Answer 2

Calculation of Fractions

Let's solve the given expressions step by step:

1. 7/12 + 5/18: To add fractions, we need to find a common denominator. The least common multiple (LCM) of 12 and 18 is 36. We can convert both fractions to have a denominator of 36 and then add them together. - 7/12 = 21/36 (multiplied numerator and denominator by 3) - 5/18 = 10/36 (multiplied numerator and denominator by 2)

Adding the fractions: 21/36 + 10/36 = 31/36

2. 2 7/24 + 3 2/15: To add mixed numbers, we first add the whole numbers and then add the fractions separately. - 2 + 3 = 5 (sum of whole numbers) - 7/24 + 2/15: To add fractions, we need to find a common denominator. The LCM of 24 and 15 is 120. We can convert both fractions to have a denominator of 120 and then add them together. - 7/24 = 35/120 (multiplied numerator and denominator by 5) - 2/15 = 16/120 (multiplied numerator and denominator by 8)

Adding the fractions: 35/120 + 16/120 = 51/120

Combining the whole numbers and fractions: 5 + 51/120 = 5 17/120 (simplified fraction)

3. 3/16 + 1/3: To add fractions, we need to find a common denominator. The least common multiple (LCM) of 16 and 3 is 48. We can convert both fractions to have a denominator of 48 and then add them together. - 3/16 = 9/48 (multiplied numerator and denominator by 3) - 1/3 = 16/48 (multiplied numerator and denominator by 16)

Adding the fractions: 9/48 + 16/48 = 25/48

4. 7/15 - 4/9: To subtract fractions, we need to find a common denominator. The least common multiple (LCM) of 15 and 9 is 45. We can convert both fractions to have a denominator of 45 and then subtract them. - 7/15 = 21/45 (multiplied numerator and denominator by 3) - 4/9 = 20/45 (multiplied numerator and denominator by 5)

Subtracting the fractions: 21/45 - 20/45 = 1/45

5. 4 1/24 - 2 11/30: To subtract mixed numbers, we first subtract the whole numbers and then subtract the fractions separately. - 4 - 2 = 2 (difference of whole numbers) - 1/24 - 11/30: To subtract fractions, we need to find a common denominator. The LCM of 24 and 30 is 120. We can convert both fractions to have a denominator of 120 and then subtract them. - 1/24 = 5/120 (multiplied numerator and denominator by 5) - 11/30 = 44/120 (multiplied numerator and denominator by 4)

Subtracting the fractions: 5/120 - 44/120 = -39/120

Combining the whole numbers and fractions: 2 - 39/120 = 1 81/120 (simplified fraction)

6. 9 - 6 + 3/19: To subtract mixed numbers, we first subtract the whole numbers and then add the fractions separately. - 9 - 6 = 3 (difference of whole numbers) - Adding the fractions: 3/19

Combining the whole numbers and fractions: 3 + 3/19 = 3 3/19

Results:

1. 7/12 + 5/18 = 31/36 2. 2 7/24 + 3 2/15 = 5 17/120 3. 3/16 + 1/3 = 25/48 4. 7/15 - 4/9 = 1/45 5. 4 1/24 - 2 11/30 = 1 81/120 6. 9 - 6 + 3/19 = 3 3/19

Please let me know if you need any further assistance!