Question

7+(-8)-(-12)-(-7)+12-30; 2 целых 3/4-(-1 цнлая 1/2)+(-5/6)

Answer 1

7+(-8)-(-12)-(-7)+12-30 = 7-8+12+7+12-30= 0;

2 целых 3/4-(-1 цнлая 1/2)+(-5/6) = 2 9/12 + 1 6/12 - 10/12 = 3 5/12

Answer 2

Let's solve the two expressions step by step:

1. 7 + (-8) - (-12) - (-7) + 12 - 30

We'll simplify the expression using the rules of arithmetic:

7 + (-8) = -1 -(-12) = 12 -(-7) = 7

So the expression becomes:

-1 + 12 - 7 + 12 - 30

Now add all the terms together:

-1 + 12 - 7 + 12 - 30 = -14

Therefore, the result of the first expression is -14.

2. 2 целых 3/4 - (-1 целая 1/2) + (-5/6)

To solve this expression, let's work with the whole number parts and the fractional parts separately and then combine them:

Whole Number Parts: 2 целых - (-1 целая) = 2 целых + 1 целая = 3 целых

Fractional Parts: 3/4 - 1/2 - 5/6

To add and subtract fractions, we need to find a common denominator. The least common multiple of 4, 2, and 6 is 12:

3/4 = 9/12 1/2 = 6/12 5/6 = 10/12

Now the expression becomes:

9/12 - 6/12 - 10/12

Combine the fractions:

(9 - 6 - 10)/12 = (-7)/12

Now the whole number and fractional parts together:

3 целых - 7/12

Therefore, the final result of the second expression is 3 целых - 7/12.