Question

Выполните действия и сократите результат 7/15+2/15 37/46-21/46 5 целых 17/36+ 3 целых 7/36 17 целых 53/63-9 целых 32/63

Answer 1

7\15+2\15=9\15=3\5
37\46-21\46=16\46=8\23
5  17\36+3 7\36=8 24\36=8  4\6 =8 2\3
17 53\63-9 32\63=8 21\63=8  1\3

Answer 2

Calculation of the Expression

To solve the given expression, we will perform the following steps:

1. Add the fractions 7/15, 2/15, 37/46, and -21/46. 2. Add the mixed numbers 5 17/36, 3 7/36, and 17 53/63. 3. Subtract the mixed numbers 9 32/63 from the result obtained in step 2.

Step 1: Adding Fractions

The sum of the fractions 7/15, 2/15, 37/46, and -21/46 is: ``` 7/15 + 2/15 + 37/46 - 21/46 = 25/30 + 37/46 - 21/46 = 25/30 + 16/46 = 115/138 ``` The sum of the fractions is 115/138.

Step 2: Adding Mixed Numbers

The sum of the mixed numbers 5 17/36, 3 7/36, and 17 53/63 is: ``` 5 17/36 + 3 7/36 + 17 53/63 = 5 + 3 + 17 + 17/36 + 7/36 + 53/63 = 25 + 17/36 + 7/36 + 53/63 ``` To add the mixed numbers, we first convert the mixed numbers to improper fractions: ``` 25 + 17/36 + 7/36 + 53/63 = 25 + 17/36 + 7/36 + 53/63 = 900/36 + 17/36 + 7/36 + 53/63 = 924/36 + 70/36 + 53/63 = 994/36 + 53/63 ``` Now, we add the improper fractions: ``` 994/36 + 53/63 = 29477/1134 ``` The sum of the mixed numbers is 29477/1134.

Step 3: Subtracting Mixed Numbers

Now, we subtract the mixed number 9 32/63 from the result obtained in step 2: ``` 29477/1134 - 9 32/63 = 29477/1134 - 9 - 32/63 = 29477/1134 - 9 - 544/1134 = 29477/1134 - 553/1134 = 28924/1134 ``` The result of the expression after subtraction is 28924/1134.