Question

-5/12*2 2/3-7 2/3*(-1/6)​

Answer 1

Ответ:

$- \frac{5}{12} \times 2 \frac{2}{3} - 7 \frac{2}{3} \times ( - \frac{1}{6} ) = \frac{1}{6}$

Answer 2

To solve this expression, you can 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).

Here's how you can calculate the expression step by step:

1. First, let's simplify each part separately:

   -5/12 * 2 = -5/12 * 2/1 = (-5 * 2) / (12 * 1) = -10/12

   2 2/3 - 7 2/3 = (2 + 2/3) - (7 + 2/3) = (8/3) - (21/3) = (8 - 21)/3 = -13/3

   -1/6

2. Now, let's multiply the results together:

   (-10/12) * (-1/6) = (10/12) * (1/6) = (10 * 1) / (12 * 6) = 10/72

3. Finally, let's simplify the result:

   10/72 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:

   (10/2) / (72/2) = 5/36

So, the final answer is 5/36.