Question

7*2/3*(-3/4)*4/5*(-5/6)*6/7 решить по дейстявиям

Answer 1

Решение:

Так как в выражении присутствует только умножение, то выполняем действия слева направо (по порядку):

7*2/3*(-3/4)*4/5*(-5/6)*6/7=  $7*\frac{2}{3}*(-\frac{3}{4})*\frac{4}{5}*(-\frac{5}{6})*\frac{6}{7}=2.$

1)   $7*\frac{2}{3}=\frac{7*2}{3} =\frac{14}{3};$

2)  $\frac{14}{3}*(-\frac{3}{4})= -\frac{14}{3} *\frac{3}{4} = -\frac{14}{1} *\frac{1}{4} =-\frac{7}{1} *\frac{1}{2} =-\frac{7}{2}$;

3)   $-\frac{7}{2}*\frac{4}{5}= -\frac{7}{1}*\frac{2}{5}= -\frac{7*2}{1*5}= -\frac{14}{5}$;

4)  $-\frac{14}{5}*(-\frac{5}{6})= \frac{14}{5}*\frac{5}{6}= \frac{14}{1}*\frac{1}{6}= \frac{7}{1}*\frac{1}{3}= \frac{7}{3}$;

5)   $\frac{7}{3}*\frac{6}{7}= \frac{1}{3}*\frac{6}{1}= \frac{1}{1}*\frac{2}{1}= 2.$

Ответ: 2.

Answer 2

Math Problem Solution

To solve the given expression, we'll follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

The given expression is: 7 * 2/3 * (-3/4) * 4/5 * (-5/6) * 6/7

First, we'll perform the operations inside the parentheses, then proceed with the multiplication and division.

1. Inside the Parentheses: - (-3/4) * (-5/6) = 15/24

2. Multiplication and Division: - 7 * 2/3 * 15/24 * 4/5 * 6/7 = (7 * 2 * 15 * 4 * 6) / (3 * 24 * 5 * 7) - Calculating the numerator: 7 * 2 * 15 * 4 * 6 = 5040 - Calculating the denominator: 3 * 24 * 5 * 7 = 2520 - Therefore, the result is: 5040 / 2520 = 2

So, the solution to the given expression is 2.