Question

(Скобки это модуль) Вычислите : 32 8\15 - (-4 2\3) ; (12 3\7) * (-14\29) ; (-1 1\3) : (-2\3) ; (-28 5\9) - (6 2\3) Помогите пожалуйста, ребят умоляю!

Answer 1

32 8\15 - (-4 2\3)=488/15- 14/3=418/15=27 13/15
(12 3\7) * (-14\29) =87/7*14/29=6
(-1 1\3) : (-2\3) =4/3:2/3=4/3*3/2=2
(-28 5\9) - (6 2\3)=21 8/9

Answer 2

Calculations

Let's solve the given mathematical expressions step by step:

1. Calculation 1: - \(32 + \frac{8}{15} - (-4 + \frac{2}{3})\)

First, let's simplify the expression inside the parentheses: - \(-4 + \frac{2}{3} = -4 + 0.\overline{6} = -3.\overline{3}\)

Now, we can substitute this value back into the original expression: - \(32 + \frac{8}{15} - (-3.\overline{3})\)

Next, we can simplify the expression by removing the double negative: - \(32 + \frac{8}{15} + 3.\overline{3}\)

Now, we can add the whole numbers and fractions separately: - \(32 + 3 + \frac{8}{15} + \frac{10}{3}\)

Finally, we can add the whole numbers and fractions together: - \(35 + \frac{8}{15} + \frac{50}{15} = 35 + \frac{58}{15}\)

Therefore, the result of the first calculation is: - \(35 + \frac{58}{15}\)

Answer 1: - \(35 + \frac{58}{15}\)

2. Calculation 2: - \((12 + \frac{3}{7}) \times (-\frac{14}{29})\)

We can first simplify the expression inside the parentheses: - \(12 + \frac{3}{7} = 12 + 0.\overline{428571} = 12.\overline{428571}\)

Now, we can multiply this value by \(-\frac{14}{29}\): - \(12.\overline{428571} \times -\frac{14}{29}\)

Therefore, the result of the second calculation is: - \(12.\overline{428571} \times -\frac{14}{29}\)

Answer 2: - \(12.\overline{428571} \times -\frac{14}{29}\)

3. Calculation 3: - \(-1 + \frac{1}{3} \div (-\frac{2}{3})\)

First, let's simplify the expression inside the division: - \(\frac{1}{3} \div (-\frac{2}{3}) = \frac{1}{3} \times (-\frac{3}{2}) = -\frac{1}{2}\)

Now, we can substitute this value back into the original expression: - \(-1 - \frac{1}{2}\)

Therefore, the result of the third calculation is: - \(-1 - \frac{1}{2}\)

Answer 3: - \(-1 - \frac{1}{2}\)

4. Calculation 4: - \(-28 + \frac{5}{9} - (6 + \frac{2}{3})\)

First, let's simplify the expression inside the parentheses: - \(6 + \frac{2}{3} = 6 + 0.\overline{6} = 6.\overline{6}\)

Now, we can substitute this value back into the original expression: - \(-28 + \frac{5}{9} - 6.\overline{6}\)

Next, we can simplify the expression by removing the double negative: - \(-28 + \frac{5}{9} - 6.\overline{6}\)

Now, we can add the whole numbers and fractions separately: - \(-28 - 6 + \frac{5}{9} + \frac{6}{10}\)

Finally, we can add the whole numbers and fractions together: - \(-34 + \frac{5}{9} + \frac{54}{90} = -34 + \frac{50}{90} + \frac{54}{90} = -34 + \frac{104}{90}\)

Therefore, the result of the fourth calculation is: - \(-34 + \frac{104}{90}\)

Answer 4: - \(-34 + \frac{104}{90}\)

I hope this helps! If you have any more questions or need further assistance, feel free to ask!