To solve the expression -8/9 × 1/-5 -8/9 × -7/11, we will follow the order of operations, which states that we should first perform any calculations inside parentheses, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

Step 1: Simplify the expressions inside parentheses
The expression does not contain any parentheses, so we can move on to the next step.

Step 2: Perform the multiplications and divisions from left to right
-8/9 × 1/-5 can be simplified as follows:
-8/9 × 1/-5 = (-8 × 1) / (9 × -5) = -8/-45

Similarly, -8/9 × -7/11 can be simplified as follows:
-8/9 × -7/11 = (-8 × -7) / (9 × 11) = 56/99

Step 3: Subtract the results of the multiplications and divisions
Now, we can subtract -8/-45 from 56/99:
56/99 - (-8/-45)

To subtract fractions, we need a common denominator. The common denominator of 99 and -45 is 99 × -45 = -4455.

Converting the fractions to have a common denominator:
56/99 - (-8/-45) = (56 × -45) / (-4455) - (-8 × 99) / (-4455)
= -2520 / -4455 + 792 / -4455

Now, we can combine the fractions:
-2520 / -4455 + 792 / -4455 = (-2520 + 792) / -4455
= -1728 / -4455

Step 4: Simplify the final fraction
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 9.

-1728 divided by 9 is -192 and -4455 divided by 9 is -495. Therefore:
-1728 / -4455 = -192 / -495

The final result is -192 / -495.

In summary,
-8/9 × 1/-5 -8/9 × -7/11 simplifies to -192 / -495.