Question

4/11*(-6 2/3-2/11*(-16,5))=​

Answer 1

Ответ:

-4/11

Пошаговое объяснение:

1. Выполняем умножения в скобке:

-6*2/3=-4

-2/11*(-16,5)=3

2.Выполняем сложение в скобке:

-4+3=-1

3.Выполняем умножение:

4/11*(-1)=-4/11

Answer 2

To solve the expression, follow these steps:

Step 1: Simplify the innermost expression within the parentheses.

-16.5 can be written as -16 - 0.5, so: -6 2/3 - 2/11 * (-16.5) = -6 2/3 - 2/11 * (-16 - 0.5)

Step 2: Apply the distributive property to the expression within the parentheses.

-6 2/3 - 2/11 * (-16 - 0.5) = -6 2/3 + 2/11 * 16 + 2/11 * 0.5

Step 3: Simplify the multiplication.

-6 2/3 + 2/11 * 16 + 2/11 * 0.5 = -6 2/3 + 32/11 + 1/11

Step 4: Find a common denominator to combine the fractions.

The common denominator of 3 and 11 is 33. Convert the whole number to a fraction with a denominator of 33.

-6 2/3 = -6 * 33/33 + 2/3 = -198/33 + 2/3

Now, add the fractions:

-198/33 + 32/11 + 1/11 = (-198 + 96 + 3)/33 = -99/33

Step 5: Simplify the fraction.

-99/33 can be reduced by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 33.

-99/33 = -3

Therefore, the result of the expression is -3.