Answer:
-2/3
Step-by-step explanation:
The mixed number can be converted to the improper fraction ...
1 1/8 = (8/8) +(1/8) = (8+1)/8 = 9/8
Then the problem is to divide -3/4 by 9/8.
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There are a couple of ways to do this:
1) match denominators and take the ratio of numerators as the result.
To do this, we need to rewrite -3/4 as -6/8. Now, we have ...
(-6/8)/(9/8) = -6/9 = -2/3 . . . . . after cancelling factors of 3
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2) invert the denominator and multiply.
(-3/4)(8/9) = (-3·8)/(4·9) = -2/3 . . . . . . after cancelling factors of 3 and 4