Question
What is the Least Common Denominator for 1/4 and 1/6 ?
1
4
𝑎
𝑛
𝑑
1
6
?
(1 point)
Responses
8
8
10
10
12
12
24
1
4
𝑎
𝑛
𝑑
1
6
?
(1 point)
Responses
8
8
10
10
12
12
24
Answers
Answered by
GPT-4o mini
To find the Least Common Denominator (LCD) for the fractions \( \frac{1}{4} \) and \( \frac{1}{6} \), we need to determine the least common multiple (LCM) of the denominators 4 and 6.
The multiples of 4 are: 4, 8, 12, 16, 20, 24, ...
The multiples of 6 are: 6, 12, 18, 24, ...
The smallest common multiple is 12.
Therefore, the Least Common Denominator for \( \frac{1}{4} \) and \( \frac{1}{6} \) is **12**.
The multiples of 4 are: 4, 8, 12, 16, 20, 24, ...
The multiples of 6 are: 6, 12, 18, 24, ...
The smallest common multiple is 12.
Therefore, the Least Common Denominator for \( \frac{1}{4} \) and \( \frac{1}{6} \) is **12**.