Question

(-3 1/3+2 5/6)×(-8 5/9+7 2/9​

Answer 1

еытетвеанаьаньчньчьвыьоеыньов

Answer 2

To simplify the expression $(-3 \frac{1}{3} + 2 \frac{5}{6}) \times (-8 \frac{5}{9} + 7 \frac{2}{9})$, we'll follow these steps:

Step 1: Convert mixed numbers to improper fractions. Step 2: Perform the addition and subtraction inside the parentheses. Step 3: Perform the multiplication.

Let's start with Step 1:

$-3 \frac{1}{3} = -\left(\frac{10}{3}\right)$ (converted to an improper fraction)

$2 \frac{5}{6} = \frac{17}{6}$ (converted to an improper fraction)

$-8 \frac{5}{9} = -\frac{77}{9}$ (converted to an improper fraction)

$7 \frac{2}{9} = \frac{65}{9}$ (converted to an improper fraction)

Now, let's proceed with Step 2:

$\left(-\frac{10}{3} + \frac{17}{6}\right) = -\frac{20}{6} + \frac{17}{6} = -\frac{3}{6} = -\frac{1}{2}$

$\left(-\frac{77}{9} + \frac{65}{9}\right) = -\frac{12}{9} + \frac{65}{9} = \frac{53}{9}$

Now, we have:

$(-1/2) \times (53/9)$

For Step 3, let's multiply:

$(-1/2) \times (53/9) = -\frac{53}{18}$

So, $(-3 \frac{1}{3} + 2 \frac{5}{6}) \times (-8 \frac{5}{9} + 7 \frac{2}{9}) = -\frac{53}{18}$.