Question

2/7 + 3/8 5/6 - 4/9 3⅛ +2⅚ 5¹¹/¹² - 3⁷/¹⁸​

Answer 1

Ответ:

2/7 + 3/8= 16/56 + 21/56 = 37/56

5/6 - 4/9=7/18

3⅛ + 2 5/6=5 23/24

5 11/12 - 3 7/18=2 19/36

Answer 2

To solve the given expression, let's break it down step by step:

1. 2/7 + 3/8: To add these fractions, we need a common denominator. The least common multiple (LCM) of 7 and 8 is 56. We can convert both fractions to have a denominator of 56: (2/7) * (8/8) = 16/56 (3/8) * (7/7) = 21/56 Now, we can add the fractions: 16/56 + 21/56 = (16 + 21)/56 = 37/56

2. 5/6 - 4/9: Again, we need a common denominator. The LCM of 6 and 9 is 18: (5/6) * (3/3) = 15/18 (4/9) * (2/2) = 8/18 Now, we can subtract the fractions: 15/18 - 8/18 = (15 - 8)/18 = 7/18

3. 3⅛ + 2⅚: To add these mixed numbers, we first need to convert them into improper fractions: 3⅛ = (3 * 8 + 1)/8 = 25/8 2⅚ = (2 * 6 + 6)/6 = 18/6 + 6/6 = 24/6 + 6/6 = 30/6 + 6/6 = 36/6 = 6 Now, we can add the fractions: 25/8 + 6 = (25 + 6 * 8)/8 = (25 + 48)/8 = 73/8

4. 5¹¹/¹² - 3⁷/¹⁸: Both fractions already have a common denominator, so we can subtract them directly: 5¹¹/¹² - 3⁷/¹⁸ = (5¹¹ - 3⁷)/(¹²) = (5¹¹ - 3⁷)/(¹²)

So the final result is: 37/56 + 7/18 + 73/8 - (5¹¹ - 3⁷)/(¹²)