Answer:
To add or subtract fractions, they must have a common denominator. In this case, the denominators of the fractions are 2 and 8, which are not the same. To find the least common multiple of 2 and 8, we can list the multiples of each number and find the smallest one that is common to both:
2: 2, 4, 6, 8, 10, 12, 14, ...
8: 8, 16, 24, 32, ...
The least common multiple of 2 and 8 is 8. Therefore, to add or subtract the fractions, we must convert them to have a denominator of 8.
-3/2 = -12/8 and 3/8 = 3/8
So, -3/2 - 3/8 = -12/8 - 3/8
Now we can subtract the fractions directly:
-12/8 - 3/8 = -12 - 3 / 8
= -15/8
Therefore, the simplified form of -3/2 - 3/8 is -15/8