To solve the problem, we will perform the operations in the given order:
1/ -8 - 9
First, let's simplify the expression by finding the reciprocal of -8:
1/-8 = -1/8
So now the expression becomes:
-1/8 - 9
To combine -1/8 and 9, we need a common denominator.
The common denominator for 8 and 1 is 8.
Rewriting 9 as 9/1, we can multiply both the numerator and denominator of -1/8 by 1 to maintain the value:
-1/8 - 9/1
Now, the expression becomes:
-1/8 - 9/1
To subtract fractions with different denominators, we need to find the least common denominator (LCD). In this case, the LCD is 8.
To get -1/8 to have a denominator of 8, we need to multiply the numerator and denominator by 8:
(-1/8) * (8/8) = -8/64
So now the expression becomes:
-8/64 - 9/1
-8/64 is equivalent to -1/8, so we have:
-1/8 - 9/1
Now we can subtract the fractions:
-1/8 - 9/1 = (-1 - 72)/8 = -73/8
Therefore, 1/ -8 - 9 = -73/8.
1/ -8 - 9
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