Final answer:
To add (1)/(16) and (5)/(8), find a common denominator which is 16, convert (5)/(8) to (10)/(16), and add the fractions resulting in (11)/(16) in simplest form.
Step-by-step explanation:
To add the fractions (1)/(16) and (5)/(8), you must first find a common denominator. Since 16 is the least common multiple of 16 and 8, we will use 16 as the common denominator.
Next, convert the fraction with denominator 8 to one with denominator 16:
- Multiply both the numerator and denominator of (5)/(8) by 2, resulting in (10)/(16).
Now you can add the two fractions:
- (1)/(16) + (10)/(16) = (11)/(16)
The result is already in the simplest form, so (1)/(16) + (5)/(8) = (11)/(16).