To find a common denominator for the fractions [tex]\(\frac{2}{8}\)[/tex] and [tex]\(\frac{1}{3}\)[/tex], follow these steps:
1. Identify the denominators: The denominators of the given fractions are 8 and 3.
2. Calculate the Least Common Multiple (LCM) of these denominators. The LCM of two numbers is the smallest positive integer that is divisible by both numbers.
3. List the multiples of each denominator until you find a common multiple:
- Multiples of 8: 8, 16, 24, 32, 40, ...
- Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, ...
4. Identify the smallest common multiple: The smallest number that appears in both lists of multiples is 24.
Therefore, the common denominator for the fractions [tex]\(\frac{2}{8}\)[/tex] and [tex]\(\frac{1}{3}\)[/tex] is 24.
