Question

Вычислите 6 2/7-4 1/7; 12 1/9-5 4/9; 8 4/5-3 1/5; 18 2/11-7 5/11.

Answer 1

6 2/7-4 1/7=2 1/7
12 1/9-5 4/9=9 19/9-5 4/9=5 15/9=6 6/9=15 2/3
8 4/5-3 1/5=5 3/5
18 2/11-7 5/11=16 24/11-7 5/11=11 19/11=12 8/11

Answer 2

To perform these subtractions, we need to convert all mixed numbers to improper fractions and then carry out the subtraction operation. Here's how to do it step by step:

1. 6 2/7 - 4 1/7: Convert both mixed numbers to improper fractions: 6 2/7 = (7 * 6 + 2)/7 = 44/7 4 1/7 = (7 * 4 + 1)/7 = 29/7

   Now, subtract the fractions: 44/7 - 29/7 = (44 - 29)/7 = 15/7

   The result is 2 1/7.

2. 12 1/9 - 5 4/9: Convert both mixed numbers to improper fractions: 12 1/9 = (9 * 12 + 1)/9 = 109/9 5 4/9 = (9 * 5 + 4)/9 = 49/9

   Now, subtract the fractions: 109/9 - 49/9 = (109 - 49)/9 = 60/9 = 6 6/9

   Simplify the fraction: 6 6/9 = 6 2/3

   The result is 6 2/3.

3. 8 4/5 - 3 1/5: Convert both mixed numbers to improper fractions: 8 4/5 = (5 * 8 + 4)/5 = 44/5 3 1/5 = (5 * 3 + 1)/5 = 16/5

   Now, subtract the fractions: 44/5 - 16/5 = (44 - 16)/5 = 28/5

   The result is 5 3/5.

4. 18 2/11 - 7 5/11: Convert both mixed numbers to improper fractions: 18 2/11 = (11 * 18 + 2)/11 = 200/11 7 5/11 = (11 * 7 + 5)/11 = 82/11

   Now, subtract the fractions: 200/11 - 82/11 = (200 - 82)/11 = 118/11

   The result is 10 8/11.

So, the solutions to the given subtractions are:

1. 6 2/7 - 4 1/7 = 2 1/7
2. 12 1/9 - 5 4/9 = 6 2/3
3. 8 4/5 - 3 1/5 = 5 3/5
4. 18 2/11 - 7 5/11 = 10 8/11