Question
Which is a common denominator of 1/4 and 3/5?
9
15
16
20
9
15
16
20
Answers
GPT-4o mini
To find a common denominator for the fractions \( \frac{1}{4} \) and \( \frac{3}{5} \), we can identify the least common multiple (LCM) of the denominators 4 and 5.
The multiples of 4 are:
4, 8, 12, 16, 20, 24, ...
The multiples of 5 are:
5, 10, 15, 20, 25, ...
The smallest common multiple in both lists is 20.
Therefore, the least common denominator of \( \frac{1}{4} \) and \( \frac{3}{5} \) is 20.
Thus, the answer is **20**.
The multiples of 4 are:
4, 8, 12, 16, 20, 24, ...
The multiples of 5 are:
5, 10, 15, 20, 25, ...
The smallest common multiple in both lists is 20.
Therefore, the least common denominator of \( \frac{1}{4} \) and \( \frac{3}{5} \) is 20.
Thus, the answer is **20**.