Final answer:
The denominator that is common to both 1/6th and 3/8th is 24.
Step-by-step explanation:
The denominator that is common to both 1/6th and 3/8th is 24.
To find the common denominator, we need to find the least common multiple (LCM) of 6 and 8. The LCM of 6 and 8 is 24.
To find the LCM, we can list the multiples of each number:
- Multiples of 6: 6, 12, 18, 24, 30, 36, 42, ...
- Multiples of 8: 8, 16, 24, 32, 40, 48, 56, ...
The first common multiple we encounter is 24, so the common denominator is 24.