The sum of negative 1 and one-fourth and one-half is negative 1 and one-fourth plus one-half.
To add these two fractions, we need to find a common denominator. The least common multiple of 4 and 2 is 4.
- One-half as an equivalent fraction with a denominator of 4 is 2/4.
- Negative 1 and one-fourth as an equivalent fraction with a denominator of 4 is -5/4.
Now we can add the two fractions:
- (-5/4) + (2/4) = (-3/4)
Therefore, the sum of negative 1 and one-fourth and one-half is negative 3/4.