-3 over 4 divded by (- 1 9/12)=
To solve this problem, we will first convert all the numbers to improper fractions.
-3 can be written as -3/1.
Next, (9/12) can be simplified to (3/4).
So, the expression becomes:
(-3/1) divided by (-1 + (3/4)).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of (-1 + (3/4)) is (-1 - (3/4)).
So, the expression becomes:
(-3/1) multiplied by (-1 - (3/4)).
Now, we simplify the expression:
(-3/1) multiplied by (-4/4 - 3/4).
(-3/1) multiplied by (-7/4).
To multiply fractions, we multiply the numerators and denominators separately.
(-3/1) multiplied by (-7/4) = (3*7)/(1*4).
= 21/4.
Therefore, -3 over 4 divided by (-1 9/12) is equal to 21/4.