Find −23 7/8+11 1/4.
To find the sum of −23 7/8 and 11 1/4, we need to add the whole numbers and the fractions separately.
First, let's add the whole numbers: -23 + 11 = -12
Next, let's add the fractions: 7/8 + 1/4.
To add these fractions, we need to find a common denominator. The common denominator of 8 and 4 is 8. To convert 1/4 to the same denominator, we multiply both the numerator and denominator by 2: 1/4 * 2/2 = 2/8.
Now, we have 7/8 + 2/8 = 9/8.
Finally, we can combine the whole numbers and fractions to get the final answer:
-12 + 9/8 = -12 + 1 + 1/8 = -11 1/8.
Therefore, the sum of −23 7/8 and 11 1/4 is -11 1/8.