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Find the least common denominator for these fractions. Enter your answer in the space provided.

[tex]\[ \frac{5}{6} \text { and } \frac{5}{4} \][/tex]

Answer here: __________

Sagot :

GinnyAnswer
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]
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