Question

1/9 + 2/3 | 2 3/4 + 1/5 | 7/8 - 1/3 | 1 5/7 - 4/5​

Answer 1

Ответ:

Пошаговое объяснение:

1/9+2/3=7/9

2 3/4+1/5=2 19/20

7/8-1/3=13/24

1 5/7-4/5=32/35

Answer 2

To solve the given expressions, let's take them one by one:

1. 1/9 + 2/3: To add fractions, we need a common denominator, which is 9 in this case. 1/9 + 2/3 = (1/9) + (6/9) = (1 + 6)/9 = 7/9

2. 2 3/4 + 1/5: To add mixed numbers, first convert the mixed number to an improper fraction. 2 3/4 = (2 * 4 + 3)/4 = 11/4 Now, find the common denominator, which is 4 in this case. 11/4 + 1/5 To add fractions with different denominators, find the least common multiple (LCM) of 4 and 5, which is 20. Now, rewrite each fraction with a denominator of 20. 11/4 = (11 * 5)/ (4 * 5) = 55/20 1/5 = (1 * 4)/ (5 * 4) = 4/20 Now, add the fractions: 11/4 + 1/5 = 55/20 + 4/20 = (55 + 4)/20 = 59/20

3. 7/8 - 1/3: To subtract fractions, we need a common denominator, which is 24 in this case (LCM of 8 and 3). 7/8 = (7 * 3)/ (8 * 3) = 21/24 1/3 = (1 * 8)/ (3 * 8) = 8/24 Now, subtract the fractions: 7/8 - 1/3 = 21/24 - 8/24 = (21 - 8)/24 = 13/24

4. 1 5/7 - 4/5: To subtract mixed numbers, first convert the mixed number to an improper fraction. 1 5/7 = (1 * 7 + 5)/7 = 12/7 Now, find the common denominator, which is 35 in this case (LCM of 7 and 5). 12/7 = (12 * 5)/ (7 * 5) = 60/35 4/5 = (4 * 7)/ (5 * 7) = 28/35 Now, subtract the fractions: 12/7 - 4/5 = 60/35 - 28/35 = (60 - 28)/35 = 32/35

So, the results of the expressions are as follows:

1. 1/9 + 2/3 = 7/9
2. 2 3/4 + 1/5 = 59/20
3. 7/8 - 1/3 = 13/24
4. 1 5/7 - 4/5 = 32/35