To divide fractions, you multiply by the reciprocal of the divisor.
First, convert the mixed number -1 3/8 to an improper fraction: -1 3/8 = -8/8 - 3/8 = -11/8
So the expression becomes:
(-3/4 - 1/6) / (-11/8)
Now, multiply by the reciprocal of -11/8:
(-3/4 - 1/6) * (-8/11)
To multiply fractions, multiply the numerators and denominators:
(-3 -8) / (4 11) + (-1 -8) / (6 11)
(24) / 44 + (8) / 66
Now simplify the fractions:
24/44 + 8/66 = 6/11 + 4/33
Multiplying by the least common denominator of 33:
(63)/(113) + 4/33
18/33 + 4/33 = 22/33
Therefore, (-3/4 - 1/6) / (-1 3/8) = 22/33.
To divide fractions, you multiply by the reciprocal of the divisor.
First, convert the mixed number -1 3/8 to an improper fraction: -1 3/8 = -8/8 - 3/8 = -11/8
So the expression becomes:
(-3/4 - 1/6) / (-11/8)
Now, multiply by the reciprocal of -11/8:
(-3/4 - 1/6) * (-8/11)
To multiply fractions, multiply the numerators and denominators:
(-3 -8) / (4 11) + (-1 -8) / (6 11)
(24) / 44 + (8) / 66
Now simplify the fractions:
24/44 + 8/66 = 6/11 + 4/33
Multiplying by the least common denominator of 33:
(63)/(113) + 4/33
18/33 + 4/33 = 22/33
Therefore, (-3/4 - 1/6) / (-1 3/8) = 22/33.