To find the least common denominator (LCD) for the fractions [tex]\(\frac{5}{6}\)[/tex] and [tex]\(\frac{5}{4}\)[/tex], follow these steps:
1. Identify the denominators: The denominators in the fractions are 6 and 4.
2. Find the least common multiple (LCM): The LCD is the least common multiple of the denominators.
- List the multiples of each denominator:
- Multiples of 6: 6, 12, 18, 24, ...
- Multiples of 4: 4, 8, 12, 16, ...
- Identify the smallest common multiple:
- The smallest common multiple between 6 and 4 is 12.
Therefore, the least common denominator (LCD) for the fractions [tex]\(\frac{5}{6}\)[/tex] and [tex]\(\frac{5}{4}\)[/tex] is:
[tex]\[
\boxed{12}
\][/tex]
