Question

(-1/4:3+1/6)*(-8/9)=?​

Answer 1

(-1/4 : 3 + 1/6) · (-8/9) = -2/27

1) -1/4 : 3 = -1/4 · 1/3 = -1/12

2) -1/12 + 1/6 = -1/12 + 2/12 = 1/12

3) 1/12 · (-8/9) = -(1·2)/(3·9) = -2/27

Ответ: (-2/27).

Answer 2

To calculate the expression (-1/4:3+1/6) * (-8/9), you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right). In this case, you have only multiplication and division to deal with:

1. First, simplify the division inside the parentheses:

   (-1/4 : 3 + 1/6)

   (-1/4 : 3 = -1/12, because -1/4 divided by 3 is -1/12)

   So, the expression becomes:

   (-1/12 + 1/6) * (-8/9)

2. Next, simplify the addition inside the parentheses:

   (-1/12 + 1/6 = 1/6 - 1/12 = 2/12 - 1/12 = 1/12)

   Now, the expression is:

   (1/12) * (-8/9)

3. Finally, multiply the fractions:

   (1/12) * (-8/9) = (1 * -8) / (12 * 9) = -8/108

Now, you can simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which is 4:

-8/108 = (-8/4) / (108/4) = -2/27

So, the final result is:

(-1/4:3+1/6) * (-8/9) = -2/27