Question

7/16-5/24 2/11-1/12 12/13-15/26 9/28-11/35 39/40-19/28

Answer 1

Ответ:

7/16-5/24=21/48-10/48=11/48

2/11-1/12=24/132-11/132=13/132

12/13-15/26=24/26-15/26=9/26

9/28-11/35=45/140-44/140=1/140

39/40-19/28=273/280-190/280=83/280

Answer 2

To solve the given expression, let's calculate each subtraction separately:

1. 7/16 - 5/24: To subtract fractions, we need to have a common denominator. The least common multiple (LCM) of 16 and 24 is 48. Let's convert both fractions to have a denominator of 48: - 7/16 = (7/16) * (3/3) = 21/48 - 5/24 = (5/24) * (2/2) = 10/48

Now, we can subtract the fractions: - 21/48 - 10/48 = (21 - 10)/48 = 11/48

2. 2/11 - 1/12: Again, we need a common denominator. The LCM of 11 and 12 is 132. Converting the fractions: - 2/11 = (2/11) * (12/12) = 24/132 - 1/12 = (1/12) * (11/11) = 11/132

Subtracting the fractions: - 24/132 - 11/132 = (24 - 11)/132 = 13/132

3. 12/13 - 15/26: The denominators are already the same, so we can directly subtract the fractions: - 12/13 - 15/26 = (12*2 - 15)/26 = 9/26

4. 9/28 - 11/35: We need a common denominator. The LCM of 28 and 35 is 140. Converting the fractions: - 9/28 = (9/28) * (5/5) = 45/140 - 11/35 = (11/35) * (4/4) = 44/140

Subtracting the fractions: - 45/140 - 44/140 = (45 - 44)/140 = 1/140

5. 39/40 - 19/28: We need a common denominator. The LCM of 40 and 28 is 280. Converting the fractions: - 39/40 = (39/40) * (7/7) = 273/280 - 19/28 = (19/28) * (10/10) = 190/280

Subtracting the fractions: - 273/280 - 190/280 = (273 - 190)/280 = 83/280

Therefore, the result of the given expression is: 11/48 + 13/132 + 9/26 + 1/140 + 83/280.

Please note that the fractions have not been simplified. If you would like the fractions to be simplified, please let me know.