Question

1) (-352 + 28) : (-12)=? 2) (8/7 - 2/5) * 7/14=? 3)2.5 : 0.5 - 2.7=? 4) 1целая 5/23 * (2/3 + 3/7) - 10 целых : 1 целая 7/8=?

Answer 1

1. -27

2. 13/35

3. 2.3

4. -715/84

Answer 2

Let's solve each of the given expressions step by step:

1. (-352 + 28) : (-12)

First, simplify the expression within the parentheses: (-352 + 28) = -324

Now, divide by -12: -324 ÷ (-12) = 27

So, the result is 27.

2. (8/7 - 2/5) * 7/14

To perform the operations, find the common denominator for the fractions: The common denominator is 35.

Now, convert each fraction to have a denominator of 35: (8/7) * (5/5) = 40/35 (2/5) * (7/7) = 14/35

Now, subtract the fractions: (40/35 - 14/35) = 26/35

Finally, multiply by 7/14: (26/35) * (7/14) = 1/5

So, the result is 1/5.

3. 2.5 : 0.5 - 2.7

Perform the division first: 2.5 ÷ 0.5 = 5

Now, subtract 2.7: 5 - 2.7 = 2.3

So, the result is 2.3.

4. 1целая 5/23 * (2/3 + 3/7) - 10целых : 1целая 7/8

First, deal with the mixed numbers: 1 целая 5/23 = (23 * 1 + 5) / 23 = 28/23 10 целых = 10 * 1 = 10

Now, solve the expression within the parentheses: (2/3 + 3/7)

To find the common denominator, it's 21. Convert each fraction: (2/3) * (7/7) = 14/21 (3/7) * (3/3) = 9/21

Now, add the fractions: (14/21 + 9/21) = 23/21

Now, the expression becomes: (28/23) * (23/21) - 10

Now, multiply the fractions: (28/23) * (23/21) = 28/21

Subtract 10: 28/21 - 10 = (28 - 210)/21 = -182/21

Now, convert the result back to a mixed number: -182/21 = -8 целых 10/21

So, the result is -8 целых 10/21.